PSLEAnna and Kimberly went shopping together with a total amount of $114.60. Anna spent 2 times as much as Kimberly. The amount Kimberly had left was $38 more than what she had spent. She had 2 times as much money left as Anna.
(a) How much money did Kimberly spend?
(b) How much money did Anna have at first?
|
Anna |
Kimberly |
Total |
Before |
2.5 u + 19 |
2 u + 38 |
114.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 19 |
1 u + 38 |
|
(a)
Total amount that Anna and Kimberly had at first
= (2.5 u + 19) + (2 u + 38)
= 2.5 u + 2 u + 19 + 38
= 4.5 u + 57
4.5 u + 57 = 114.6
4.5 u = 114.6 - 57
4.5 u = 57.6
1 u = 57.6 ÷ 4.5 = 12.8
Amount that Kimberly had at first
= 1 u
= $12.80
(b)
Amount that Anna had at first
= 2.5 u + 19
= (2.5 x 12.8) + 19
= 32 + 19
= $51
Answer(s): (a) $12.80; (b) $51