PSLENora and Betty went shopping together with a total amount of $96.60. Nora spent 2 times as much as Betty. The amount Betty had left was $32 more than what she had spent. She had 2 times as much money left as Nora.
(a) How much money did Betty spend?
(b) How much money did Nora have at first?
|
Nora |
Betty |
Total |
Before |
2.5 u + 16 |
2 u + 32 |
96.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 16 |
1 u + 32 |
|
(a)
Total amount that Nora and Betty had at first
= (2.5 u + 16) + (2 u + 32)
= 2.5 u + 2 u + 16 + 32
= 4.5 u + 48
4.5 u + 48 = 96.6
4.5 u = 96.6 - 48
4.5 u = 48.6
1 u = 48.6 ÷ 4.5 = 10.8
Amount that Betty had at first
= 1 u
= $10.80
(b)
Amount that Nora had at first
= 2.5 u + 16
= (2.5 x 10.8) + 16
= 27 + 16
= $43
Answer(s): (a) $10.80; (b) $43