PSLETammy and Sabrina went shopping together with a total amount of $100.80. Tammy spent 2 times as much as Sabrina. The amount Sabrina 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 Sabrina spend?
(b) How much money did Tammy have at first?
|
Tammy |
Sabrina |
Total |
Before |
2.5 u + 18 |
2 u + 36 |
100.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 18 |
1 u + 36 |
|
(a)
Total amount that Tammy and Sabrina 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 = 100.8
4.5 u = 100.8 - 54
4.5 u = 46.8
1 u = 46.8 ÷ 4.5 = 10.4
Amount that Sabrina had at first
= 1 u
= $10.40
(b)
Amount that Tammy had at first
= 2.5 u + 18
= (2.5 x 10.4) + 18
= 26 + 18
= $44
Answer(s): (a) $10.40; (b) $44