PSLEErika and Pamela went shopping together with a total amount of $85.20. Erika spent 2 times as much as Pamela. The amount Pamela had left was $19 more than what she had spent. She had 2 times as much money left as Erika.
(a) How much money did Pamela spend?
(b) How much money did Erika have at first?
|
Erika |
Pamela |
Total |
Before |
2.5 u + 9.5 |
2 u + 19 |
85.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 9.5 |
1 u + 19 |
|
(a)
Total amount that Erika and Pamela had at first
= (2.5 u + 9.5) + (2 u + 19)
= 2.5 u + 2 u + 9.5 + 19
= 4.5 u + 28.5
4.5 u + 28.5 = 85.2
4.5 u = 85.2 - 28.5
4.5 u = 56.7
1 u = 56.7 ÷ 4.5 = 12.6
Amount that Pamela had at first
= 1 u
= $12.60
(b)
Amount that Erika had at first
= 2.5 u + 9.5
= (2.5 x 12.6) + 9.5
= 31.5 + 9.5
= $41
Answer(s): (a) $12.60; (b) $41