PSLESabrina and Jaslyn went shopping together with a total amount of $89.40. Sabrina spent 2 times as much as Jaslyn. The amount Jaslyn had left was $29 more than what she had spent. She had 2 times as much money left as Sabrina.
(a) How much money did Jaslyn spend?
(b) How much money did Sabrina have at first?
|
Sabrina |
Jaslyn |
Total |
Before |
2.5 u + 14.5 |
2 u + 29 |
89.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 14.5 |
1 u + 29 |
|
(a)
Total amount that Sabrina and Jaslyn had at first
= (2.5 u + 14.5) + (2 u + 29)
= 2.5 u + 2 u + 14.5 + 29
= 4.5 u + 43.5
4.5 u + 43.5 = 89.4
4.5 u = 89.4 - 43.5
4.5 u = 45.9
1 u = 45.9 ÷ 4.5 = 10.2
Amount that Jaslyn had at first
= 1 u
= $10.20
(b)
Amount that Sabrina had at first
= 2.5 u + 14.5
= (2.5 x 10.2) + 14.5
= 25.5 + 14.5
= $40
Answer(s): (a) $10.20; (b) $40