PSLEAbi and Victoria went shopping together with a total amount of $115.20. Abi spent 2 times as much as Victoria. The amount Victoria had left was $21 more than what she had spent. She had 2 times as much money left as Abi.
(a) How much money did Victoria spend?
(b) How much money did Abi have at first?
|
Abi |
Victoria |
Total |
Before |
2.5 u + 10.5 |
2 u + 21 |
115.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 10.5 |
1 u + 21 |
|
(a)
Total amount that Abi and Victoria 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 = 115.2
4.5 u = 115.2 - 31.5
4.5 u = 83.7
1 u = 83.7 ÷ 4.5 = 18.6
Amount that Victoria had at first
= 1 u
= $18.60
(b)
Amount that Abi had at first
= 2.5 u + 10.5
= (2.5 x 18.6) + 10.5
= 46.5 + 10.5
= $57
Answer(s): (a) $18.60; (b) $57