PSLESabrina and Jean went shopping together with a total amount of $97.20. Sabrina spent 2 times as much as Jean. The amount Jean had left was $15 more than what she had spent. She had 2 times as much money left as Sabrina.
(a) How much money did Jean spend?
(b) How much money did Sabrina have at first?
|
Sabrina |
Jean |
Total |
Before |
2.5 u + 7.5 |
2 u + 15 |
97.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 7.5 |
1 u + 15 |
|
(a)
Total amount that Sabrina and Jean had at first
= (2.5 u + 7.5) + (2 u + 15)
= 2.5 u + 2 u + 7.5 + 15
= 4.5 u + 22.5
4.5 u + 22.5 = 97.2
4.5 u = 97.2 - 22.5
4.5 u = 74.7
1 u = 74.7 ÷ 4.5 = 16.6
Amount that Jean had at first
= 1 u
= $16.60
(b)
Amount that Sabrina had at first
= 2.5 u + 7.5
= (2.5 x 16.6) + 7.5
= 41.5 + 7.5
= $49
Answer(s): (a) $16.60; (b) $49