PSLERisa and Yen went shopping together with a total amount of $95.40. Risa spent 2 times as much as Yen. The amount Yen had left was $27 more than what she had spent. She had 2 times as much money left as Risa.
(a) How much money did Yen spend?
(b) How much money did Risa have at first?
|
Risa |
Yen |
Total |
Before |
2.5 u + 13.5 |
2 u + 27 |
95.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 13.5 |
1 u + 27 |
|
(a)
Total amount that Risa and Yen had at first
= (2.5 u + 13.5) + (2 u + 27)
= 2.5 u + 2 u + 13.5 + 27
= 4.5 u + 40.5
4.5 u + 40.5 = 95.4
4.5 u = 95.4 - 40.5
4.5 u = 54.9
1 u = 54.9 ÷ 4.5 = 12.2
Amount that Yen had at first
= 1 u
= $12.20
(b)
Amount that Risa had at first
= 2.5 u + 13.5
= (2.5 x 12.2) + 13.5
= 30.5 + 13.5
= $44
Answer(s): (a) $12.20; (b) $44