PSLEYoko and Emily went shopping together with a total amount of $107.40. Yoko spent 2 times as much as Emily. The amount Emily had left was $26 more than what she had spent. She had 2 times as much money left as Yoko.
(a) How much money did Emily spend?
(b) How much money did Yoko have at first?
|
Yoko |
Emily |
Total |
Before |
2.5 u + 13 |
2 u + 26 |
107.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 13 |
1 u + 26 |
|
(a)
Total amount that Yoko and Emily 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 = 107.4
4.5 u = 107.4 - 39
4.5 u = 68.4
1 u = 68.4 ÷ 4.5 = 15.2
Amount that Emily had at first
= 1 u
= $15.20
(b)
Amount that Yoko had at first
= 2.5 u + 13
= (2.5 x 15.2) + 13
= 38 + 13
= $51
Answer(s): (a) $15.20; (b) $51