PSLEXylia and Emily went shopping together with a total amount of $112.80. Xylia spent 2 times as much as Emily. The amount Emily had left was $32 more than what she had spent. She had 2 times as much money left as Xylia.
(a) How much money did Emily spend?
(b) How much money did Xylia have at first?
|
Xylia |
Emily |
Total |
Before |
2.5 u + 16 |
2 u + 32 |
112.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 16 |
1 u + 32 |
|
(a)
Total amount that Xylia and Emily had at first
= (2.5 u + 16) + (2 u + 32)
= 2.5 u + 2 u + 16 + 32
= 4.5 u + 48
4.5 u + 48 = 112.8
4.5 u = 112.8 - 48
4.5 u = 64.8
1 u = 64.8 ÷ 4.5 = 14.4
Amount that Emily had at first
= 1 u
= $14.40
(b)
Amount that Xylia had at first
= 2.5 u + 16
= (2.5 x 14.4) + 16
= 36 + 16
= $52
Answer(s): (a) $14.40; (b) $52