PSLEErika and Hazel went shopping together with a total amount of $127.20. Erika spent 2 times as much as Hazel. The amount Hazel had left was $38 more than what she had spent. She had 2 times as much money left as Erika.
(a) How much money did Hazel spend?
(b) How much money did Erika have at first?
|
Erika |
Hazel |
Total |
Before |
2.5 u + 19 |
2 u + 38 |
127.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 19 |
1 u + 38 |
|
(a)
Total amount that Erika and Hazel had at first
= (2.5 u + 19) + (2 u + 38)
= 2.5 u + 2 u + 19 + 38
= 4.5 u + 57
4.5 u + 57 = 127.2
4.5 u = 127.2 - 57
4.5 u = 70.2
1 u = 70.2 ÷ 4.5 = 15.6
Amount that Hazel had at first
= 1 u
= $15.60
(b)
Amount that Erika had at first
= 2.5 u + 19
= (2.5 x 15.6) + 19
= 39 + 19
= $58
Answer(s): (a) $15.60; (b) $58