PSLEShannon and Nora went shopping together with a total amount of $115.80. Shannon spent 2 times as much as Nora. The amount Nora had left was $28 more than what she had spent. She had 2 times as much money left as Shannon.
(a) How much money did Nora spend?
(b) How much money did Shannon have at first?
|
Shannon |
Nora |
Total |
Before |
2.5 u + 14 |
2 u + 28 |
115.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 14 |
1 u + 28 |
|
(a)
Total amount that Shannon and Nora 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 = 115.8
4.5 u = 115.8 - 42
4.5 u = 73.8
1 u = 73.8 ÷ 4.5 = 16.4
Amount that Nora had at first
= 1 u
= $16.40
(b)
Amount that Shannon had at first
= 2.5 u + 14
= (2.5 x 16.4) + 14
= 41 + 14
= $55
Answer(s): (a) $16.40; (b) $55