PSLETina and Nora went shopping together with a total amount of $124.20. Tina spent 2 times as much as Nora. The amount Nora had left was $36 more than what she had spent. She had 2 times as much money left as Tina.
(a) How much money did Nora spend?
(b) How much money did Tina have at first?
|
Tina |
Nora |
Total |
Before |
2.5 u + 18 |
2 u + 36 |
124.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 18 |
1 u + 36 |
|
(a)
Total amount that Tina and Nora had at first
= (2.5 u + 18) + (2 u + 36)
= 2.5 u + 2 u + 18 + 36
= 4.5 u + 54
4.5 u + 54 = 124.2
4.5 u = 124.2 - 54
4.5 u = 70.2
1 u = 70.2 ÷ 4.5 = 15.6
Amount that Nora had at first
= 1 u
= $15.60
(b)
Amount that Tina had at first
= 2.5 u + 18
= (2.5 x 15.6) + 18
= 39 + 18
= $57
Answer(s): (a) $15.60; (b) $57