PSLEJade and Risa went shopping together with a total amount of $110.40. Jade spent 2 times as much as Risa. The amount Risa had left was $16 more than what she had spent. She had 2 times as much money left as Jade.
(a) How much money did Risa spend?
(b) How much money did Jade have at first?
|
Jade |
Risa |
Total |
Before |
2.5 u + 8 |
2 u + 16 |
110.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 8 |
1 u + 16 |
|
(a)
Total amount that Jade and Risa had at first
= (2.5 u + 8) + (2 u + 16)
= 2.5 u + 2 u + 8 + 16
= 4.5 u + 24
4.5 u + 24 = 110.4
4.5 u = 110.4 - 24
4.5 u = 86.4
1 u = 86.4 ÷ 4.5 = 19.2
Amount that Risa had at first
= 1 u
= $19.20
(b)
Amount that Jade had at first
= 2.5 u + 8
= (2.5 x 19.2) + 8
= 48 + 8
= $56
Answer(s): (a) $19.20; (b) $56