PSLEShannon and Kylie went shopping together with a total amount of $133.80. Shannon spent 2 times as much as Kylie. The amount Kylie had left was $37 more than what she had spent. She had 2 times as much money left as Shannon.
(a) How much money did Kylie spend?
(b) How much money did Shannon have at first?
|
Shannon |
Kylie |
Total |
Before |
2.5 u + 18.5 |
2 u + 37 |
133.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 18.5 |
1 u + 37 |
|
(a)
Total amount that Shannon and Kylie had at first
= (2.5 u + 18.5) + (2 u + 37)
= 2.5 u + 2 u + 18.5 + 37
= 4.5 u + 55.5
4.5 u + 55.5 = 133.8
4.5 u = 133.8 - 55.5
4.5 u = 78.3
1 u = 78.3 ÷ 4.5 = 17.4
Amount that Kylie had at first
= 1 u
= $17.40
(b)
Amount that Shannon had at first
= 2.5 u + 18.5
= (2.5 x 17.4) + 18.5
= 43.5 + 18.5
= $62
Answer(s): (a) $17.40; (b) $62