PSLEGabby and Kimberly went shopping together with a total amount of $98.40. Gabby spent 2 times as much as Kimberly. The amount Kimberly had left was $29 more than what she had spent. She had 2 times as much money left as Gabby.
(a) How much money did Kimberly spend?
(b) How much money did Gabby have at first?
|
Gabby |
Kimberly |
Total |
Before |
2.5 u + 14.5 |
2 u + 29 |
98.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 14.5 |
1 u + 29 |
|
(a)
Total amount that Gabby and Kimberly had at first
= (2.5 u + 14.5) + (2 u + 29)
= 2.5 u + 2 u + 14.5 + 29
= 4.5 u + 43.5
4.5 u + 43.5 = 98.4
4.5 u = 98.4 - 43.5
4.5 u = 54.9
1 u = 54.9 ÷ 4.5 = 12.2
Amount that Kimberly had at first
= 1 u
= $12.20
(b)
Amount that Gabby had at first
= 2.5 u + 14.5
= (2.5 x 12.2) + 14.5
= 30.5 + 14.5
= $45
Answer(s): (a) $12.20; (b) $45