PSLEOpal and Barbara went shopping together with a total amount of $60.60. Opal spent 2 times as much as Barbara. The amount Barbara had left was $8 more than what she had spent. She had 2 times as much money left as Opal.
(a) How much money did Barbara spend?
(b) How much money did Opal have at first?
|
Opal |
Barbara |
Total |
Before |
2.5 u + 4 |
2 u + 8 |
60.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 4 |
1 u + 8 |
|
(a)
Total amount that Opal and Barbara had at first
= (2.5 u + 4) + (2 u + 8)
= 2.5 u + 2 u + 4 + 8
= 4.5 u + 12
4.5 u + 12 = 60.6
4.5 u = 60.6 - 12
4.5 u = 48.6
1 u = 48.6 ÷ 4.5 = 10.8
Amount that Barbara had at first
= 1 u
= $10.80
(b)
Amount that Opal had at first
= 2.5 u + 4
= (2.5 x 10.8) + 4
= 27 + 4
= $31
Answer(s): (a) $10.80; (b) $31