PSLEKathy and Wendy went shopping together with a total amount of $92.40. Kathy spent 2 times as much as Wendy. The amount Wendy had left was $28 more than what she had spent. She had 2 times as much money left as Kathy.
(a) How much money did Wendy spend?
(b) How much money did Kathy have at first?
|
Kathy |
Wendy |
Total |
Before |
2.5 u + 14 |
2 u + 28 |
92.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 14 |
1 u + 28 |
|
(a)
Total amount that Kathy and Wendy had at first
= (2.5 u + 14) + (2 u + 28)
= 2.5 u + 2 u + 14 + 28
= 4.5 u + 42
4.5 u + 42 = 92.4
4.5 u = 92.4 - 42
4.5 u = 50.4
1 u = 50.4 ÷ 4.5 = 11.2
Amount that Wendy had at first
= 1 u
= $11.20
(b)
Amount that Kathy had at first
= 2.5 u + 14
= (2.5 x 11.2) + 14
= 28 + 14
= $42
Answer(s): (a) $11.20; (b) $42