PSLEGabby and Erika went shopping together with a total amount of $96.60. Gabby spent 2 times as much as Erika. The amount Erika had left was $17 more than what she had spent. She had 2 times as much money left as Gabby.
(a) How much money did Erika spend?
(b) How much money did Gabby have at first?
|
Gabby |
Erika |
Total |
Before |
2.5 u + 8.5 |
2 u + 17 |
96.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 8.5 |
1 u + 17 |
|
(a)
Total amount that Gabby and Erika had at first
= (2.5 u + 8.5) + (2 u + 17)
= 2.5 u + 2 u + 8.5 + 17
= 4.5 u + 25.5
4.5 u + 25.5 = 96.6
4.5 u = 96.6 - 25.5
4.5 u = 71.1
1 u = 71.1 ÷ 4.5 = 15.8
Amount that Erika had at first
= 1 u
= $15.80
(b)
Amount that Gabby had at first
= 2.5 u + 8.5
= (2.5 x 15.8) + 8.5
= 39.5 + 8.5
= $48
Answer(s): (a) $15.80; (b) $48