PSLEHazel and Opal went shopping together with a total amount of $76.80. Hazel spent 2 times as much as Opal. The amount Opal had left was $14 more than what she had spent. She had 2 times as much money left as Hazel.
(a) How much money did Opal spend?
(b) How much money did Hazel have at first?
|
Hazel |
Opal |
Total |
Before |
2.5 u + 7 |
2 u + 14 |
76.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 7 |
1 u + 14 |
|
(a)
Total amount that Hazel and Opal had at first
= (2.5 u + 7) + (2 u + 14)
= 2.5 u + 2 u + 7 + 14
= 4.5 u + 21
4.5 u + 21 = 76.8
4.5 u = 76.8 - 21
4.5 u = 55.8
1 u = 55.8 ÷ 4.5 = 12.4
Amount that Opal had at first
= 1 u
= $12.40
(b)
Amount that Hazel had at first
= 2.5 u + 7
= (2.5 x 12.4) + 7
= 31 + 7
= $38
Answer(s): (a) $12.40; (b) $38