PSLETammy and Pamela went shopping together with a total amount of $105.60. Tammy spent 2 times as much as Pamela. The amount Pamela had left was $35 more than what she had spent. She had 2 times as much money left as Tammy.
(a) How much money did Pamela spend?
(b) How much money did Tammy have at first?
|
Tammy |
Pamela |
Total |
Before |
2.5 u + 17.5 |
2 u + 35 |
105.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 17.5 |
1 u + 35 |
|
(a)
Total amount that Tammy and Pamela had at first
= (2.5 u + 17.5) + (2 u + 35)
= 2.5 u + 2 u + 17.5 + 35
= 4.5 u + 52.5
4.5 u + 52.5 = 105.6
4.5 u = 105.6 - 52.5
4.5 u = 53.1
1 u = 53.1 ÷ 4.5 = 11.8
Amount that Pamela had at first
= 1 u
= $11.80
(b)
Amount that Tammy had at first
= 2.5 u + 17.5
= (2.5 x 11.8) + 17.5
= 29.5 + 17.5
= $47
Answer(s): (a) $11.80; (b) $47