PSLEHazel and Esther went shopping together with a total amount of $130.80. Hazel spent 2 times as much as Esther. The amount Esther had left was $35 more than what she had spent. She had 2 times as much money left as Hazel.
(a) How much money did Esther spend?
(b) How much money did Hazel have at first?
|
Hazel |
Esther |
Total |
Before |
2.5 u + 17.5 |
2 u + 35 |
130.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 17.5 |
1 u + 35 |
|
(a)
Total amount that Hazel and Esther had at first
= (2.5 u + 17.5) + (2 u + 35)
= 2.5 u + 2 u + 17.5 + 35
= 4.5 u + 52.5
4.5 u + 52.5 = 130.8
4.5 u = 130.8 - 52.5
4.5 u = 78.3
1 u = 78.3 ÷ 4.5 = 17.4
Amount that Esther had at first
= 1 u
= $17.40
(b)
Amount that Hazel had at first
= 2.5 u + 17.5
= (2.5 x 17.4) + 17.5
= 43.5 + 17.5
= $61
Answer(s): (a) $17.40; (b) $61