PSLEJaslyn and Natalie went shopping together with a total amount of $99.60. Jaslyn spent 2 times as much as Natalie. The amount Natalie had left was $28 more than what she had spent. She had 2 times as much money left as Jaslyn.
(a) How much money did Natalie spend?
(b) How much money did Jaslyn have at first?
|
Jaslyn |
Natalie |
Total |
Before |
2.5 u + 14 |
2 u + 28 |
99.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 14 |
1 u + 28 |
|
(a)
Total amount that Jaslyn and Natalie had at first
= (2.5 u + 14) + (2 u + 28)
= 2.5 u + 2 u + 14 + 28
= 4.5 u + 42
4.5 u + 42 = 99.6
4.5 u = 99.6 - 42
4.5 u = 57.6
1 u = 57.6 ÷ 4.5 = 12.8
Amount that Natalie had at first
= 1 u
= $12.80
(b)
Amount that Jaslyn had at first
= 2.5 u + 14
= (2.5 x 12.8) + 14
= 32 + 14
= $46
Answer(s): (a) $12.80; (b) $46