PSLEYoko and Hilda went shopping together with a total amount of $115.80. Yoko spent 2 times as much as Hilda. The amount Hilda had left was $19 more than what she had spent. She had 2 times as much money left as Yoko.
(a) How much money did Hilda spend?
(b) How much money did Yoko have at first?
|
Yoko |
Hilda |
Total |
Before |
2.5 u + 9.5 |
2 u + 19 |
115.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 9.5 |
1 u + 19 |
|
(a)
Total amount that Yoko and Hilda had at first
= (2.5 u + 9.5) + (2 u + 19)
= 2.5 u + 2 u + 9.5 + 19
= 4.5 u + 28.5
4.5 u + 28.5 = 115.8
4.5 u = 115.8 - 28.5
4.5 u = 87.3
1 u = 87.3 ÷ 4.5 = 19.4
Amount that Hilda had at first
= 1 u
= $19.40
(b)
Amount that Yoko had at first
= 2.5 u + 9.5
= (2.5 x 19.4) + 9.5
= 48.5 + 9.5
= $58
Answer(s): (a) $19.40; (b) $58