Pls help my Son with this Problem Sum?

Question

Jeremy had $95 and Peter had $64. After both of them spent and equal amout of money on a story book, Jeremy had 3 times as much money as Peter. How much money did each of them spend? Pls provide workings... Thanks

I tried this sum but i san't solve it myself

Appreciate those who try to help... Thanks

Answer 1

Okay first you have to solve for the amount of money both spent

lets call the amount 'x'

95-x is the amount Jeremy has left over
64-x the amount Peter has left over

now how can you solve for x
well lets make the two amounts equal each other
how you ask well we know that Jeremy's amount is equal to 3 times Peters final amount so

95-x = 3(64-x)

now just solve for x

95-x = 192 - 3x
95-x-95 (cancels the 95 on this side) = 192 - 3x - 95 (if you do something to one side you do it to the other so it still is equal)

-x = -3x + 97
-x +3x = -3x = 97 + 3x (canceling again and getting x on one side)

2x = 97

2x / 2 = 97 / 2 (get x alone)

x = 48.50

So the boys spent 48.50 at the store

now that we know this we can subtract from the beginning amount

95 - 48.50 = 46.50

64 - 48.50 = 15.50

and we can now check our results to see if it matches the above question

46.50 / 15.50 = 3

Jeremy has 3 times Peter

Hope this helps (I love math and tutored for a while Gr 4 - Gr 11)

Answer 2

J-x=3(p-x)
95-x=3*64-3x
2x=192-95
x=48.5

Answer 3

They both spent an equal amount of money, therefore the difference is kept the same. Since jeremy had 3 times as much, we take
(95 - 64) x 3/2 = 31 x 3/2 = 46.50.
This is jeremy's amount at the end. Subtract this from 95...
95 - 46.50 = 43.50.

That's your answer...

Answer 4

It says they both spent the same amount call it S

So:
95-S= 3 * (64-S)
right one guys money anfter what he spent s three times what the other guy has after spending, the trick to these questions is to convert the "words" to equations.

now you just solve:
95-S= 3 * (64-S)
95-S=192-3S
2S=97
S=48.5

Answer 5

Assume they both spend $ x
Jeremy now has $(95 - x)
Peter has $(64 - x)

95 - x = 3(64 -x)
95 - x = 192 - 3x
3x - x = 192 - 95
2x = 97
x = 48.50
They both spent $48.50

Answer 6

3(95-x) = 64-x

solve for x

Answer 7

Here' some help:
Don't go to the internet to have other people do your son's homework for him! Just have him ask the teacher for extra help if he doesn't get it! The nerve of some people...