PSLELynn and Nicole went shopping together with a total amount of $74.40. Lynn spent 2 times as much as Nicole. The amount Nicole had left was $7 more than what she had spent. She had 2 times as much money left as Lynn.
(a) How much money did Nicole spend?
(b) How much money did Lynn have at first?
|
Lynn |
Nicole |
Total |
Before |
2.5 u + 3.5 |
2 u + 7 |
74.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 3.5 |
1 u + 7 |
|
(a)
Total amount that Lynn and Nicole had at first
= (2.5 u + 3.5) + (2 u + 7)
= 2.5 u + 2 u + 3.5 + 7
= 4.5 u + 10.5
4.5 u + 10.5 = 74.4
4.5 u = 74.4 - 10.5
4.5 u = 63.9
1 u = 63.9 ÷ 4.5 = 14.2
Amount that Nicole had at first
= 1 u
= $14.20
(b)
Amount that Lynn had at first
= 2.5 u + 3.5
= (2.5 x 14.2) + 3.5
= 35.5 + 3.5
= $39
Answer(s): (a) $14.20; (b) $39