PSLEJaslyn and Ivory went shopping together with a total amount of $94.80. Jaslyn spent 2 times as much as Ivory. The amount Ivory had left was $11 more than what she had spent. She had 2 times as much money left as Jaslyn.
(a) How much money did Ivory spend?
(b) How much money did Jaslyn have at first?
|
Jaslyn |
Ivory |
Total |
Before |
2.5 u + 5.5 |
2 u + 11 |
94.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 5.5 |
1 u + 11 |
|
(a)
Total amount that Jaslyn and Ivory had at first
= (2.5 u + 5.5) + (2 u + 11)
= 2.5 u + 2 u + 5.5 + 11
= 4.5 u + 16.5
4.5 u + 16.5 = 94.8
4.5 u = 94.8 - 16.5
4.5 u = 78.3
1 u = 78.3 ÷ 4.5 = 17.4
Amount that Ivory had at first
= 1 u
= $17.40
(b)
Amount that Jaslyn had at first
= 2.5 u + 5.5
= (2.5 x 17.4) + 5.5
= 43.5 + 5.5
= $49
Answer(s): (a) $17.40; (b) $49