PSLETina and Linda went shopping together with a total amount of $138.60. Tina spent 2 times as much as Linda. The amount Linda had left was $39 more than what she had spent. She had 2 times as much money left as Tina.
(a) How much money did Linda spend?
(b) How much money did Tina have at first?
|
Tina |
Linda |
Total |
Before |
2.5 u + 19.5 |
2 u + 39 |
138.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 19.5 |
1 u + 39 |
|
(a)
Total amount that Tina and Linda had at first
= (2.5 u + 19.5) + (2 u + 39)
= 2.5 u + 2 u + 19.5 + 39
= 4.5 u + 58.5
4.5 u + 58.5 = 138.6
4.5 u = 138.6 - 58.5
4.5 u = 80.1
1 u = 80.1 ÷ 4.5 = 17.8
Amount that Linda had at first
= 1 u
= $17.80
(b)
Amount that Tina had at first
= 2.5 u + 19.5
= (2.5 x 17.8) + 19.5
= 44.5 + 19.5
= $64
Answer(s): (a) $17.80; (b) $64