13 of Rachel's money was equal to
14 of Vanessa's money at first. After Rachel spent $25 and Vanessa spent
13 of her money, Rachel had
12 as much money as Vanessa.
- How much money did Vanessa have at first?
- How much money did Vanessa have in the end?
| |
Rachel |
Vanessa |
Comparing Rachel
and Vanessa at first |
3x3 =
9 u |
4x3 =
12 u |
| Before |
|
3x4 =
12 u |
| Change |
- $25 |
- 1x4 =
- 4 u |
| After |
|
2x4 =
8 u |
Comparing Rachel
and Vanessa in the end |
1x4 =
4 u |
2x4 =
8 u |
13 Rachel's money =
14 Vanessa's money
Make numerators the same.
13 Rachel's money =
1x14x1 Vanessa's money
13 Rachel's money =
14 Vanessa's money
Rachel's money : Vanessa's money = 3 : 4
The amount that Vanessa had at first is repeated. Make the amount that Vanessa had at first the same. LCM of 4 and 3 is 12.
Amount that Rachel spent
= 9 u - 4 u
= 5 u
5 u = 25
1 u = 25 ÷ 5 = 5
(a)
Amount that Vanessa had at first
= 12 u
= 12 x 5
= $60
(b)
Amount that Vanessa had in the end
= 8 u
= 8 x 5
= $40
Answer(s): (a) $60; (b) $40
