PSLEEmma and Nora went shopping together with a total amount of $118.80. Emma spent 2 times as much as Nora. The amount Nora had left was $27 more than what she had spent. She had 2 times as much money left as Emma.
(a) How much money did Nora spend?
(b) How much money did Emma have at first?
|
Emma |
Nora |
Total |
Before |
2.5 u + 13.5 |
2 u + 27 |
118.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 13.5 |
1 u + 27 |
|
(a)
Total amount that Emma and Nora had at first
= (2.5 u + 13.5) + (2 u + 27)
= 2.5 u + 2 u + 13.5 + 27
= 4.5 u + 40.5
4.5 u + 40.5 = 118.8
4.5 u = 118.8 - 40.5
4.5 u = 78.3
1 u = 78.3 ÷ 4.5 = 17.4
Amount that Nora had at first
= 1 u
= $17.40
(b)
Amount that Emma had at first
= 2.5 u + 13.5
= (2.5 x 17.4) + 13.5
= 43.5 + 13.5
= $57
Answer(s): (a) $17.40; (b) $57