35 of Lucy's money was equal to
12 of Xandra's money at first. After Lucy spent $70 and Xandra spent
14 of her money, Lucy had
13 as much money as Xandra.
- How much money did Xandra have at first?
- How much money did Xandra have in the end?
| |
Lucy |
Xandra |
Comparing Lucy
and Xandra at first |
5x2 =
10 u |
6x2 =
12 u |
| Before |
|
4x3 =
12 u |
| Change |
- $70 |
- 1x3 =
- 3 u |
| After |
|
3x3 =
9 u |
Comparing Lucy
and Xandra in the end |
1x3 =
3 u |
3x3 =
9 u |
35 Lucy's money =
12 Xandra's money
Make numerators the same.
35 Lucy's money =
1x32x3 Xandra's money
35 Lucy's money =
36 Xandra's money
Lucy's money : Xandra's money = 5 : 6
The amount that Xandra had at first is repeated. Make the amount that Xandra had at first the same. LCM of 6 and 4 is 12.
Amount that Lucy spent
= 10 u - 3 u
= 7 u
7 u = 70
1 u = 70 ÷ 7 = 10
(a)
Amount that Xandra had at first
= 12 u
= 12 x 10
= $120
(b)
Amount that Xandra had in the end
= 9 u
= 9 x 10
= $90
Answer(s): (a) $120; (b) $90
