45 of Usha's money was equal to
13 of Vanessa's money at first. After Usha spent $130 and Vanessa spent
35 of her money, Usha had
12 as much money as Vanessa.
- How much money did Vanessa have at first?
- How much money did Vanessa have in the end?
| |
Usha |
Vanessa |
Comparing Usha
and Vanessa at first |
5x5 =
25 u |
12x5 =
60 u |
| Before |
|
5x12 =
60 u |
| Change |
- $130 |
- 3x12 =
- 36 u |
| After |
|
2x12 =
24 u |
Comparing Usha
and Vanessa in the end |
1x12 =
12 u |
2x12 =
24 u |
45 Usha's money =
13 Vanessa's money
Make numerators the same.
45 Usha's money =
1x43x4 Vanessa's money
45 Usha's money =
412 Vanessa's money
Usha's money : Vanessa's money = 5 : 12
The amount that Vanessa had at first is repeated. Make the amount that Vanessa had at first the same. LCM of 12 and 5 is 60.
Amount that Usha spent
= 25 u - 12 u
= 13 u
13 u = 130
1 u = 130 ÷ 13 = 10
(a)
Amount that Vanessa had at first
= 60 u
= 60 x 10
= $600
(b)
Amount that Vanessa had in the end
= 24 u
= 24 x 10
= $240
Answer(s): (a) $600; (b) $240
