Roshel and Emma had $113. Emma had $37 more than Roshel. Roshel spent 2 times as much as Emma and was left with
25 as much as Emma. How much did Roshel spend?
| |
Make p the same
(1)x5 = (3) |
Roshel
(1) |
Emma
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Roshel
and Emma at first |
|
|
$37 more |
|
$113 |
| Before |
$190 |
$38 |
$75 |
$150 |
|
| Change |
- 10 u |
- 2 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Roshel had at first
= (113 - 37) ÷ 2
= 76 ÷ 2
= $38
Amount that Emma had at first
= 38 + 37
= $75
38 - 2 u = 2 p --- (1)
75 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
190 - 10 u =
10 p --- (3)
(2)
x 2
150 - 2 u =
10 p --- (4)
(4) = (3)
150 - 2 u = 190 - 10 u
10 u - 2 u = 190 - 150
8 u = 40
1 u = 40 ÷ 8 = 5
Amount that Roshel spent
= 2 u
= 2 x 5
= $10
Answer(s): $10
