PSLEUsha and Zoe went shopping together with a total amount of $119.40. Usha spent 2 times as much as Zoe. The amount Zoe had left was $37 more than what she had spent. She had 2 times as much money left as Usha.
(a) How much money did Zoe spend?
(b) How much money did Usha have at first?
|
Usha |
Zoe |
Total |
Before |
2.5 u + 18.5 |
2 u + 37 |
119.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 18.5 |
1 u + 37 |
|
(a)
Total amount that Usha and Zoe had at first
= (2.5 u + 18.5) + (2 u + 37)
= 2.5 u + 2 u + 18.5 + 37
= 4.5 u + 55.5
4.5 u + 55.5 = 119.4
4.5 u = 119.4 - 55.5
4.5 u = 63.9
1 u = 63.9 ÷ 4.5 = 14.2
Amount that Zoe had at first
= 1 u
= $14.20
(b)
Amount that Usha had at first
= 2.5 u + 18.5
= (2.5 x 14.2) + 18.5
= 35.5 + 18.5
= $54
Answer(s): (a) $14.20; (b) $54