PSLEIvory and Joelle went shopping together with a total amount of $79.80. Ivory spent 2 times as much as Joelle. The amount Joelle had left was $13 more than what she had spent. She had 2 times as much money left as Ivory.
(a) How much money did Joelle spend?
(b) How much money did Ivory have at first?
|
Ivory |
Joelle |
Total |
Before |
2.5 u + 6.5 |
2 u + 13 |
79.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 6.5 |
1 u + 13 |
|
(a)
Total amount that Ivory and Joelle had at first
= (2.5 u + 6.5) + (2 u + 13)
= 2.5 u + 2 u + 6.5 + 13
= 4.5 u + 19.5
4.5 u + 19.5 = 79.8
4.5 u = 79.8 - 19.5
4.5 u = 60.3
1 u = 60.3 ÷ 4.5 = 13.4
Amount that Joelle had at first
= 1 u
= $13.40
(b)
Amount that Ivory had at first
= 2.5 u + 6.5
= (2.5 x 13.4) + 6.5
= 33.5 + 6.5
= $40
Answer(s): (a) $13.40; (b) $40