PSLEPenelope and Jaslyn went shopping together with a total amount of $95.40. Penelope spent 2 times as much as Jaslyn. The amount Jaslyn had left was $21 more than what she had spent. She had 2 times as much money left as Penelope.
(a) How much money did Jaslyn spend?
(b) How much money did Penelope have at first?
|
Penelope |
Jaslyn |
Total |
Before |
2.5 u + 10.5 |
2 u + 21 |
95.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 10.5 |
1 u + 21 |
|
(a)
Total amount that Penelope and Jaslyn had at first
= (2.5 u + 10.5) + (2 u + 21)
= 2.5 u + 2 u + 10.5 + 21
= 4.5 u + 31.5
4.5 u + 31.5 = 95.4
4.5 u = 95.4 - 31.5
4.5 u = 63.9
1 u = 63.9 ÷ 4.5 = 14.2
Amount that Jaslyn had at first
= 1 u
= $14.20
(b)
Amount that Penelope had at first
= 2.5 u + 10.5
= (2.5 x 14.2) + 10.5
= 35.5 + 10.5
= $46
Answer(s): (a) $14.20; (b) $46