Jaslyn and Gwen had $149. Gwen had $33 more than Jaslyn. Jaslyn spent 4 times as much as Gwen and was left with
25 as much as Gwen. How much did Jaslyn spend more than Gwen?
| |
Make p the same
(1)x5 = (3) |
Jaslyn
(1) |
Gwen
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Jaslyn
and Gwen at first |
|
|
$33 more |
|
$149 |
| Before |
$290 |
$58 |
$91 |
$182 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Jaslyn had at first
= (149 - 33) ÷ 2
= 116 ÷ 2
= $58
Amount that Gwen had at first
= 58 + 33
= $91
58 - 4 u = 2 p --- (1)
91 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
290 - 20 u =
10 p --- (3)
(2)
x 2
182 - 2 u =
10 p --- (4)
(4) = (3)
182 - 2 u = 290 - 20 u
20 u - 2 u = 290 - 182
18 u = 108
1 u = 108 ÷ 18 = 6
Amount that Jaslyn spent more than Gwen
= 4 u - 1 u
= 3 u
= 3 x 6
= $18
Answer(s): $18
