PSLENora and Olivia went shopping together with a total amount of $124.80. Nora spent 2 times as much as Olivia. The amount Olivia had left was $28 more than what she had spent. She had 2 times as much money left as Nora.
(a) How much money did Olivia spend?
(b) How much money did Nora have at first?
|
Nora |
Olivia |
Total |
Before |
2.5 u + 14 |
2 u + 28 |
124.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 14 |
1 u + 28 |
|
(a)
Total amount that Nora and Olivia 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 = 124.8
4.5 u = 124.8 - 42
4.5 u = 82.8
1 u = 82.8 ÷ 4.5 = 18.4
Amount that Olivia had at first
= 1 u
= $18.40
(b)
Amount that Nora had at first
= 2.5 u + 14
= (2.5 x 18.4) + 14
= 46 + 14
= $60
Answer(s): (a) $18.40; (b) $60