PSLEVictoria and Jaslyn went shopping together with a total amount of $91.20. Victoria spent 2 times as much as Jaslyn. The amount Jaslyn had left was $14 more than what she had spent. She had 2 times as much money left as Victoria.
(a) How much money did Jaslyn spend?
(b) How much money did Victoria have at first?
|
Victoria |
Jaslyn |
Total |
Before |
2.5 u + 7 |
2 u + 14 |
91.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 7 |
1 u + 14 |
|
(a)
Total amount that Victoria and Jaslyn had at first
= (2.5 u + 7) + (2 u + 14)
= 2.5 u + 2 u + 7 + 14
= 4.5 u + 21
4.5 u + 21 = 91.2
4.5 u = 91.2 - 21
4.5 u = 70.2
1 u = 70.2 ÷ 4.5 = 15.6
Amount that Jaslyn had at first
= 1 u
= $15.60
(b)
Amount that Victoria had at first
= 2.5 u + 7
= (2.5 x 15.6) + 7
= 39 + 7
= $46
Answer(s): (a) $15.60; (b) $46