PSLETammy and Lynn went shopping together with a total amount of $106.20. Tammy spent 2 times as much as Lynn. The amount Lynn had left was $12 more than what she had spent. She had 2 times as much money left as Tammy.
(a) How much money did Lynn spend?
(b) How much money did Tammy have at first?
|
Tammy |
Lynn |
Total |
Before |
2.5 u + 6 |
2 u + 12 |
106.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 6 |
1 u + 12 |
|
(a)
Total amount that Tammy and Lynn had at first
= (2.5 u + 6) + (2 u + 12)
= 2.5 u + 2 u + 6 + 12
= 4.5 u + 18
4.5 u + 18 = 106.2
4.5 u = 106.2 - 18
4.5 u = 88.2
1 u = 88.2 ÷ 4.5 = 19.6
Amount that Lynn had at first
= 1 u
= $19.60
(b)
Amount that Tammy had at first
= 2.5 u + 6
= (2.5 x 19.6) + 6
= 49 + 6
= $55
Answer(s): (a) $19.60; (b) $55