PSLEAnna and Xuan went shopping together with a total amount of $136.80. Anna spent 2 times as much as Xuan. The amount Xuan had left was $39 more than what she had spent. She had 2 times as much money left as Anna.
(a) How much money did Xuan spend?
(b) How much money did Anna have at first?
|
Anna |
Xuan |
Total |
Before |
2.5 u + 19.5 |
2 u + 39 |
136.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 19.5 |
1 u + 39 |
|
(a)
Total amount that Anna and Xuan had at first
= (2.5 u + 19.5) + (2 u + 39)
= 2.5 u + 2 u + 19.5 + 39
= 4.5 u + 58.5
4.5 u + 58.5 = 136.8
4.5 u = 136.8 - 58.5
4.5 u = 78.3
1 u = 78.3 ÷ 4.5 = 17.4
Amount that Xuan had at first
= 1 u
= $17.40
(b)
Amount that Anna had at first
= 2.5 u + 19.5
= (2.5 x 17.4) + 19.5
= 43.5 + 19.5
= $63
Answer(s): (a) $17.40; (b) $63