PSLEYen and Zara went shopping together with a total amount of $145.20. Yen spent 2 times as much as Zara. The amount Zara had left was $38 more than what she had spent. She had 2 times as much money left as Yen.
(a) How much money did Zara spend?
(b) How much money did Yen have at first?
|
Yen |
Zara |
Total |
Before |
2.5 u + 19 |
2 u + 38 |
145.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 19 |
1 u + 38 |
|
(a)
Total amount that Yen and Zara had at first
= (2.5 u + 19) + (2 u + 38)
= 2.5 u + 2 u + 19 + 38
= 4.5 u + 57
4.5 u + 57 = 145.2
4.5 u = 145.2 - 57
4.5 u = 88.2
1 u = 88.2 ÷ 4.5 = 19.6
Amount that Zara had at first
= 1 u
= $19.60
(b)
Amount that Yen had at first
= 2.5 u + 19
= (2.5 x 19.6) + 19
= 49 + 19
= $68
Answer(s): (a) $19.60; (b) $68