PSLEKimberly and Gem went shopping together with a total amount of $69.60. Kimberly spent 2 times as much as Gem. The amount Gem had left was $14 more than what she had spent. She had 2 times as much money left as Kimberly.
(a) How much money did Gem spend?
(b) How much money did Kimberly have at first?
|
Kimberly |
Gem |
Total |
Before |
2.5 u + 7 |
2 u + 14 |
69.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 7 |
1 u + 14 |
|
(a)
Total amount that Kimberly and Gem had at first
= (2.5 u + 7) + (2 u + 14)
= 2.5 u + 2 u + 7 + 14
= 4.5 u + 21
4.5 u + 21 = 69.6
4.5 u = 69.6 - 21
4.5 u = 48.6
1 u = 48.6 ÷ 4.5 = 10.8
Amount that Gem had at first
= 1 u
= $10.80
(b)
Amount that Kimberly had at first
= 2.5 u + 7
= (2.5 x 10.8) + 7
= 27 + 7
= $34
Answer(s): (a) $10.80; (b) $34