PSLEOpal and Irene went shopping together with a total amount of $70.20. Opal spent 2 times as much as Irene. The amount Irene had left was $12 more than what she had spent. She had 2 times as much money left as Opal.
(a) How much money did Irene spend?
(b) How much money did Opal have at first?
|
Opal |
Irene |
Total |
Before |
2.5 u + 6 |
2 u + 12 |
70.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 6 |
1 u + 12 |
|
(a)
Total amount that Opal and Irene had at first
= (2.5 u + 6) + (2 u + 12)
= 2.5 u + 2 u + 6 + 12
= 4.5 u + 18
4.5 u + 18 = 70.2
4.5 u = 70.2 - 18
4.5 u = 52.2
1 u = 52.2 ÷ 4.5 = 11.6
Amount that Irene had at first
= 1 u
= $11.60
(b)
Amount that Opal had at first
= 2.5 u + 6
= (2.5 x 11.6) + 6
= 29 + 6
= $35
Answer(s): (a) $11.60; (b) $35