PSLEEva and Tammy went shopping together with a total amount of $128.40. Eva spent 2 times as much as Tammy. The amount Tammy had left was $40 more than what she had spent. She had 2 times as much money left as Eva.
(a) How much money did Tammy spend?
(b) How much money did Eva have at first?
|
Eva |
Tammy |
Total |
Before |
2.5 u + 20 |
2 u + 40 |
128.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 20 |
1 u + 40 |
|
(a)
Total amount that Eva and Tammy had at first
= (2.5 u + 20) + (2 u + 40)
= 2.5 u + 2 u + 20 + 40
= 4.5 u + 60
4.5 u + 60 = 128.4
4.5 u = 128.4 - 60
4.5 u = 68.4
1 u = 68.4 ÷ 4.5 = 15.2
Amount that Tammy had at first
= 1 u
= $15.20
(b)
Amount that Eva had at first
= 2.5 u + 20
= (2.5 x 15.2) + 20
= 38 + 20
= $58
Answer(s): (a) $15.20; (b) $58