PSLEJean and Tina went shopping together with a total amount of $85.80. Jean spent 2 times as much as Tina. The amount Tina had left was $23 more than what she had spent. She had 2 times as much money left as Jean.
(a) How much money did Tina spend?
(b) How much money did Jean have at first?
|
Jean |
Tina |
Total |
Before |
2.5 u + 11.5 |
2 u + 23 |
85.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 11.5 |
1 u + 23 |
|
(a)
Total amount that Jean and Tina had at first
= (2.5 u + 11.5) + (2 u + 23)
= 2.5 u + 2 u + 11.5 + 23
= 4.5 u + 34.5
4.5 u + 34.5 = 85.8
4.5 u = 85.8 - 34.5
4.5 u = 51.3
1 u = 51.3 ÷ 4.5 = 11.4
Amount that Tina had at first
= 1 u
= $11.40
(b)
Amount that Jean had at first
= 2.5 u + 11.5
= (2.5 x 11.4) + 11.5
= 28.5 + 11.5
= $40
Answer(s): (a) $11.40; (b) $40