PSLEJaslyn and Hilda went shopping together with a total amount of $129.60. Jaslyn spent 2 times as much as Hilda. The amount Hilda had left was $27 more than what she had spent. She had 2 times as much money left as Jaslyn.
(a) How much money did Hilda spend?
(b) How much money did Jaslyn have at first?
|
Jaslyn |
Hilda |
Total |
Before |
2.5 u + 13.5 |
2 u + 27 |
129.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 13.5 |
1 u + 27 |
|
(a)
Total amount that Jaslyn and Hilda had at first
= (2.5 u + 13.5) + (2 u + 27)
= 2.5 u + 2 u + 13.5 + 27
= 4.5 u + 40.5
4.5 u + 40.5 = 129.6
4.5 u = 129.6 - 40.5
4.5 u = 89.1
1 u = 89.1 ÷ 4.5 = 19.8
Amount that Hilda had at first
= 1 u
= $19.80
(b)
Amount that Jaslyn had at first
= 2.5 u + 13.5
= (2.5 x 19.8) + 13.5
= 49.5 + 13.5
= $63
Answer(s): (a) $19.80; (b) $63