PSLEEva and Xandra went shopping together with a total amount of $81.60. Eva spent 2 times as much as Xandra. The amount Xandra had left was $22 more than what she had spent. She had 2 times as much money left as Eva.
(a) How much money did Xandra spend?
(b) How much money did Eva have at first?
|
Eva |
Xandra |
Total |
Before |
2.5 u + 11 |
2 u + 22 |
81.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 11 |
1 u + 22 |
|
(a)
Total amount that Eva and Xandra had at first
= (2.5 u + 11) + (2 u + 22)
= 2.5 u + 2 u + 11 + 22
= 4.5 u + 33
4.5 u + 33 = 81.6
4.5 u = 81.6 - 33
4.5 u = 48.6
1 u = 48.6 ÷ 4.5 = 10.8
Amount that Xandra had at first
= 1 u
= $10.80
(b)
Amount that Eva had at first
= 2.5 u + 11
= (2.5 x 10.8) + 11
= 27 + 11
= $38
Answer(s): (a) $10.80; (b) $38