Roshel and Gwen had $184. Gwen had $16 more than Roshel. Roshel spent 3 times as much as Gwen and was left with
35 as much as Gwen. How much did Gwen spend less than Roshel?
| |
Make p the same
(1) x 5 = (3) |
Roshel
(1) |
Gwen
(2) |
Make p the same
(2) x 3 = (4) |
Total
|
Comparing Roshel
and Gwen at first |
|
|
$16 more |
|
$184 |
| Before |
$420 |
$84 |
$100 |
$300 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Roshel had at first
= (184 - 16) ÷ 2
= 168 ÷ 2
= $84
Amount that Gwen had at first
= 84 + 16
= $100
84 - 3 u = 3 p --- (1)
100 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
420 - 15 u =
15 p --- (3)
(2)
x 3
300 - 3 u =
15 p --- (4)
(4) = (3)
300 - 3 u = 420 - 15 u
15 u - 3 u = 420 - 300
12 u = 120
1 u = 120 ÷ 12 = 10
Amount that Gwen spent less than Roshel
= 3 u - 1 u
= 2 u
= 2 x 10
= $20
Answer(s): $20
