PSLEEmma and Betty went shopping together with a total amount of $125.40. Emma spent 2 times as much as Betty. The amount Betty had left was $26 more than what she had spent. She had 2 times as much money left as Emma.
(a) How much money did Betty spend?
(b) How much money did Emma have at first?
|
Emma |
Betty |
Total |
Before |
2.5 u + 13 |
2 u + 26 |
125.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 13 |
1 u + 26 |
|
(a)
Total amount that Emma and Betty 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 = 125.4
4.5 u = 125.4 - 39
4.5 u = 86.4
1 u = 86.4 ÷ 4.5 = 19.2
Amount that Betty had at first
= 1 u
= $19.20
(b)
Amount that Emma had at first
= 2.5 u + 13
= (2.5 x 19.2) + 13
= 48 + 13
= $61
Answer(s): (a) $19.20; (b) $61