PSLEYen and Erika went shopping together with a total amount of $125.40. Yen spent 2 times as much as Erika. The amount Erika had left was $32 more than what she had spent. She had 2 times as much money left as Yen.
(a) How much money did Erika spend?
(b) How much money did Yen have at first?
|
Yen |
Erika |
Total |
Before |
2.5 u + 16 |
2 u + 32 |
125.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 16 |
1 u + 32 |
|
(a)
Total amount that Yen and Erika had at first
= (2.5 u + 16) + (2 u + 32)
= 2.5 u + 2 u + 16 + 32
= 4.5 u + 48
4.5 u + 48 = 125.4
4.5 u = 125.4 - 48
4.5 u = 77.4
1 u = 77.4 ÷ 4.5 = 17.2
Amount that Erika had at first
= 1 u
= $17.20
(b)
Amount that Yen had at first
= 2.5 u + 16
= (2.5 x 17.2) + 16
= 43 + 16
= $59
Answer(s): (a) $17.20; (b) $59