PSLEElyse and Mary went shopping together with a total amount of $124.20. Elyse spent 2 times as much as Mary. The amount Mary had left was $27 more than what she had spent. She had 2 times as much money left as Elyse.
(a) How much money did Mary spend?
(b) How much money did Elyse have at first?
|
Elyse |
Mary |
Total |
Before |
2.5 u + 13.5 |
2 u + 27 |
124.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 13.5 |
1 u + 27 |
|
(a)
Total amount that Elyse and Mary 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 = 124.2
4.5 u = 124.2 - 40.5
4.5 u = 83.7
1 u = 83.7 ÷ 4.5 = 18.6
Amount that Mary had at first
= 1 u
= $18.60
(b)
Amount that Elyse had at first
= 2.5 u + 13.5
= (2.5 x 18.6) + 13.5
= 46.5 + 13.5
= $60
Answer(s): (a) $18.60; (b) $60