45 of Tiffany's money was equal to
13 of Lucy's money at first. After Tiffany spent $65 and Lucy spent
25 of her money, Tiffany had
13 as much money as Lucy.
- How much money did Lucy have at first?
- How much money did Lucy have in the end?
| |
Tiffany |
Lucy |
Comparing Tiffany
and Lucy at first |
5x5 =
25 u |
12x5 =
60 u |
| Before |
|
5x12 =
60 u |
| Change |
- $65 |
- 2x12 =
- 24 u |
| After |
|
3x12 =
36 u |
Comparing Tiffany
and Lucy in the end |
1x12 =
12 u |
3x12 =
36 u |
45 Tiffany's money =
13 Lucy's money
Make numerators the same.
45 Tiffany's money =
1x43x4 Lucy's money
45 Tiffany's money =
412 Lucy's money
Tiffany's money : Lucy's money = 5 : 12
The amount that Lucy had at first is repeated. Make the amount that Lucy had at first the same. LCM of 12 and 5 is 60.
Amount that Tiffany spent
= 25 u - 12 u
= 13 u
13 u = 65
1 u = 65 ÷ 13 = 5
(a)
Amount that Lucy had at first
= 60 u
= 60 x 5
= $300
(b)
Amount that Lucy had in the end
= 36 u
= 36 x 5
= $180
Answer(s): (a) $300; (b) $180
