Equivalent expression with percent problems
$begingroup$
Rob spent 25% more time on his research project then he had planned. He spent an extra h hours on the project.
Which of the following expressions could represent the number of hours Rob actually spent on the project ?
There are four answers to this question. Only two are acceptable.
The two answers are 5*h* and (h/.25) * 1.25
What trips me up about these answers is the math and how it reaches one step to another.
So I will post the explanation that was provided to me via the app.
Explanation shown
Rob spent h extra hours on his project, which is equal to 25% of the amount of time he planned to spend on the research project.
Rob planned to spend h/25% hours on the research project. That means Rob actually spend h/25 + h hours on the research project.
Because 25% means 25 per hundred, we can write it in equivalent forms.
25% = 25/100
= 1/4
= 0.25
Lets find equivalents ways of writing the numbers of hours Rob spent on the research project.
h/25% + h = (h/(1/4)) + h
= h * 4/1 + h
= 5h
= 0.25/0.25 * 5h
= (h/.25) * .25 * 5
= (h/ 0.25) * 1.25
The expression 5h and (h/.25) * 1.25 at could represent the number of hours Rob actually spent on the Research Project.
This is the entire explanation given. I don't entirely understand the method used here. So I was hoping for some assistance.
algebra-precalculus percentages
asked Dec 6 '18 at 0:55
Hannibal RasberryHannibal Rasberry
12
$endgroup$
|
show 5 more comments
$begingroup$
Rob spent 25% more time on his research project then he had planned. He spent an extra h hours on the project.
Which of the following expressions could represent the number of hours Rob actually spent on the project ?
There are four answers to this question. Only two are acceptable.
The two answers are 5*h* and (h/.25) * 1.25
What trips me up about these answers is the math and how it reaches one step to another.
So I will post the explanation that was provided to me via the app.
Explanation shown
Rob spent h extra hours on his project, which is equal to 25% of the amount of time he planned to spend on the research project.
Rob planned to spend h/25% hours on the research project. That means Rob actually spend h/25 + h hours on the research project.
Because 25% means 25 per hundred, we can write it in equivalent forms.
25% = 25/100
= 1/4
= 0.25
Lets find equivalents ways of writing the numbers of hours Rob spent on the research project.
h/25% + h = (h/(1/4)) + h
= h * 4/1 + h
= 5h
= 0.25/0.25 * 5h
= (h/.25) * .25 * 5
= (h/ 0.25) * 1.25
The expression 5h and (h/.25) * 1.25 at could represent the number of hours Rob actually spent on the Research Project.
This is the entire explanation given. I don't entirely understand the method used here. So I was hoping for some assistance.
algebra-precalculus percentages
asked Dec 6 '18 at 0:55
Hannibal RasberryHannibal Rasberry
12
$endgroup$
$begingroup$
You could show us what they did, and point to where you have trouble. Might make it easier to give a useful answer.
$endgroup$
– Gerry Myerson
Dec 6 '18 at 1:32
$begingroup$
Note to other responders – see math.stackexchange.com/questions/2910702/…
$endgroup$
– Gerry Myerson
Dec 6 '18 at 1:36
$begingroup$
Sure, just give me a second. I'm trying to get the question back on my app so I can post what it shows.
$endgroup$
– Hannibal Rasberry
Dec 6 '18 at 1:42
$begingroup$
I have a photo of the problem but I don't know how to post them into the comment section. Is there are way for me to do this ?
$endgroup$
– Hannibal Rasberry
Dec 6 '18 at 1:56
$begingroup$
I don't think I can post the photo so I'll try to edit the original post instead.
$endgroup$
– Hannibal Rasberry
Dec 6 '18 at 2:01
|
show 5 more comments
$begingroup$
Rob spent 25% more time on his research project then he had planned. He spent an extra h hours on the project.
Which of the following expressions could represent the number of hours Rob actually spent on the project ?
There are four answers to this question. Only two are acceptable.
The two answers are 5*h* and (h/.25) * 1.25
What trips me up about these answers is the math and how it reaches one step to another.
So I will post the explanation that was provided to me via the app.
Explanation shown
Rob spent h extra hours on his project, which is equal to 25% of the amount of time he planned to spend on the research project.
Rob planned to spend h/25% hours on the research project. That means Rob actually spend h/25 + h hours on the research project.
Because 25% means 25 per hundred, we can write it in equivalent forms.
25% = 25/100
= 1/4
= 0.25
Lets find equivalents ways of writing the numbers of hours Rob spent on the research project.
h/25% + h = (h/(1/4)) + h
= h * 4/1 + h
= 5h
= 0.25/0.25 * 5h
= (h/.25) * .25 * 5
= (h/ 0.25) * 1.25
The expression 5h and (h/.25) * 1.25 at could represent the number of hours Rob actually spent on the Research Project.
This is the entire explanation given. I don't entirely understand the method used here. So I was hoping for some assistance.
algebra-precalculus percentages
asked Dec 6 '18 at 0:55
Hannibal RasberryHannibal Rasberry
12
$endgroup$
Rob spent 25% more time on his research project then he had planned. He spent an extra h hours on the project.
Which of the following expressions could represent the number of hours Rob actually spent on the project ?
There are four answers to this question. Only two are acceptable.
The two answers are 5*h* and (h/.25) * 1.25
What trips me up about these answers is the math and how it reaches one step to another.
So I will post the explanation that was provided to me via the app.
Explanation shown
Rob spent h extra hours on his project, which is equal to 25% of the amount of time he planned to spend on the research project.
Rob planned to spend h/25% hours on the research project. That means Rob actually spend h/25 + h hours on the research project.
Because 25% means 25 per hundred, we can write it in equivalent forms.
25% = 25/100
= 1/4
= 0.25
Lets find equivalents ways of writing the numbers of hours Rob spent on the research project.
h/25% + h = (h/(1/4)) + h
= h * 4/1 + h
= 5h
= 0.25/0.25 * 5h
= (h/.25) * .25 * 5
= (h/ 0.25) * 1.25
The expression 5h and (h/.25) * 1.25 at could represent the number of hours Rob actually spent on the Research Project.
This is the entire explanation given. I don't entirely understand the method used here. So I was hoping for some assistance.
algebra-precalculus percentages
algebra-precalculus percentages
asked Dec 6 '18 at 0:55
Hannibal RasberryHannibal Rasberry
12
asked Dec 6 '18 at 0:55
Hannibal RasberryHannibal Rasberry
12
edited Dec 6 '18 at 2:11
Hannibal Rasberry
asked Dec 6 '18 at 0:55
Hannibal RasberryHannibal Rasberry
12
asked Dec 6 '18 at 0:55
Hannibal RasberryHannibal Rasberry
12
asked Dec 6 '18 at 0:55
Hannibal RasberryHannibal Rasberry
12
12
$begingroup$
You could show us what they did, and point to where you have trouble. Might make it easier to give a useful answer.
$endgroup$
– Gerry Myerson
Dec 6 '18 at 1:32
$begingroup$
Note to other responders – see math.stackexchange.com/questions/2910702/…
$endgroup$
– Gerry Myerson
Dec 6 '18 at 1:36
$begingroup$
Sure, just give me a second. I'm trying to get the question back on my app so I can post what it shows.
$endgroup$
– Hannibal Rasberry
Dec 6 '18 at 1:42
$begingroup$
I have a photo of the problem but I don't know how to post them into the comment section. Is there are way for me to do this ?
$endgroup$
– Hannibal Rasberry
Dec 6 '18 at 1:56
$begingroup$
I don't think I can post the photo so I'll try to edit the original post instead.
$endgroup$
– Hannibal Rasberry
Dec 6 '18 at 2:01
|
show 5 more comments
$begingroup$
You could show us what they did, and point to where you have trouble. Might make it easier to give a useful answer.
$endgroup$
– Gerry Myerson
Dec 6 '18 at 1:32
$begingroup$
Note to other responders – see math.stackexchange.com/questions/2910702/…
$endgroup$
– Gerry Myerson
Dec 6 '18 at 1:36
$begingroup$
Sure, just give me a second. I'm trying to get the question back on my app so I can post what it shows.
$endgroup$
– Hannibal Rasberry
Dec 6 '18 at 1:42
$begingroup$
I have a photo of the problem but I don't know how to post them into the comment section. Is there are way for me to do this ?
$endgroup$
– Hannibal Rasberry
Dec 6 '18 at 1:56
$begingroup$
I don't think I can post the photo so I'll try to edit the original post instead.
$endgroup$
– Hannibal Rasberry
Dec 6 '18 at 2:01
$begingroup$
You could show us what they did, and point to where you have trouble. Might make it easier to give a useful answer.
$endgroup$
– Gerry Myerson
Dec 6 '18 at 1:32
$begingroup$
You could show us what they did, and point to where you have trouble. Might make it easier to give a useful answer.
$endgroup$
– Gerry Myerson
Dec 6 '18 at 1:32
$begingroup$
Note to other responders – see math.stackexchange.com/questions/2910702/…
$endgroup$
– Gerry Myerson
Dec 6 '18 at 1:36
$begingroup$
Note to other responders – see math.stackexchange.com/questions/2910702/…
$endgroup$
– Gerry Myerson
Dec 6 '18 at 1:36
$begingroup$
Sure, just give me a second. I'm trying to get the question back on my app so I can post what it shows.
$endgroup$
– Hannibal Rasberry
Dec 6 '18 at 1:42
$begingroup$
Sure, just give me a second. I'm trying to get the question back on my app so I can post what it shows.
$endgroup$
– Hannibal Rasberry
Dec 6 '18 at 1:42
$begingroup$
I have a photo of the problem but I don't know how to post them into the comment section. Is there are way for me to do this ?
$endgroup$
– Hannibal Rasberry
Dec 6 '18 at 1:56
$begingroup$
I have a photo of the problem but I don't know how to post them into the comment section. Is there are way for me to do this ?
$endgroup$
– Hannibal Rasberry
Dec 6 '18 at 1:56
$begingroup$
I don't think I can post the photo so I'll try to edit the original post instead.
$endgroup$
– Hannibal Rasberry
Dec 6 '18 at 2:01
$begingroup$
I don't think I can post the photo so I'll try to edit the original post instead.
$endgroup$
– Hannibal Rasberry
Dec 6 '18 at 2:01
|
show 5 more comments
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$begingroup$
You could show us what they did, and point to where you have trouble. Might make it easier to give a useful answer.
$endgroup$
– Gerry Myerson
Dec 6 '18 at 1:32
$begingroup$
Note to other responders – see math.stackexchange.com/questions/2910702/…
$endgroup$
– Gerry Myerson
Dec 6 '18 at 1:36
$begingroup$
Sure, just give me a second. I'm trying to get the question back on my app so I can post what it shows.
$endgroup$
– Hannibal Rasberry
Dec 6 '18 at 1:42
$begingroup$
I have a photo of the problem but I don't know how to post them into the comment section. Is there are way for me to do this ?
$endgroup$
– Hannibal Rasberry
Dec 6 '18 at 1:56
$begingroup$
I don't think I can post the photo so I'll try to edit the original post instead.
$endgroup$
– Hannibal Rasberry
Dec 6 '18 at 2:01