PSLEEva and Victoria went shopping together with a total amount of $62.40. Eva spent 2 times as much as Victoria. The amount Victoria had left was $11 more than what she had spent. She had 2 times as much money left as Eva.
(a) How much money did Victoria spend?
(b) How much money did Eva have at first?
|
Eva |
Victoria |
Total |
Before |
2.5 u + 5.5 |
2 u + 11 |
62.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 5.5 |
1 u + 11 |
|
(a)
Total amount that Eva and Victoria had at first
= (2.5 u + 5.5) + (2 u + 11)
= 2.5 u + 2 u + 5.5 + 11
= 4.5 u + 16.5
4.5 u + 16.5 = 62.4
4.5 u = 62.4 - 16.5
4.5 u = 45.9
1 u = 45.9 ÷ 4.5 = 10.2
Amount that Victoria had at first
= 1 u
= $10.20
(b)
Amount that Eva had at first
= 2.5 u + 5.5
= (2.5 x 10.2) + 5.5
= 25.5 + 5.5
= $31
Answer(s): (a) $10.20; (b) $31