PSLEErika and Xylia went shopping together with a total amount of $105.60. Erika spent 2 times as much as Xylia. The amount Xylia had left was $26 more than what she had spent. She had 2 times as much money left as Erika.
(a) How much money did Xylia spend?
(b) How much money did Erika have at first?
|
Erika |
Xylia |
Total |
Before |
2.5 u + 13 |
2 u + 26 |
105.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 13 |
1 u + 26 |
|
(a)
Total amount that Erika and Xylia had at first
= (2.5 u + 13) + (2 u + 26)
= 2.5 u + 2 u + 13 + 26
= 4.5 u + 39
4.5 u + 39 = 105.6
4.5 u = 105.6 - 39
4.5 u = 66.6
1 u = 66.6 ÷ 4.5 = 14.8
Amount that Xylia had at first
= 1 u
= $14.80
(b)
Amount that Erika had at first
= 2.5 u + 13
= (2.5 x 14.8) + 13
= 37 + 13
= $50
Answer(s): (a) $14.80; (b) $50