PSLETammy and Jen went shopping together with a total amount of $138.60. Tammy spent 2 times as much as Jen. The amount Jen had left was $36 more than what she had spent. She had 2 times as much money left as Tammy.
(a) How much money did Jen spend?
(b) How much money did Tammy have at first?
|
Tammy |
Jen |
Total |
Before |
2.5 u + 18 |
2 u + 36 |
138.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 18 |
1 u + 36 |
|
(a)
Total amount that Tammy and Jen had at first
= (2.5 u + 18) + (2 u + 36)
= 2.5 u + 2 u + 18 + 36
= 4.5 u + 54
4.5 u + 54 = 138.6
4.5 u = 138.6 - 54
4.5 u = 84.6
1 u = 84.6 ÷ 4.5 = 18.8
Amount that Jen had at first
= 1 u
= $18.80
(b)
Amount that Tammy had at first
= 2.5 u + 18
= (2.5 x 18.8) + 18
= 47 + 18
= $65
Answer(s): (a) $18.80; (b) $65