16 of Xandra's money was equal to
15 of Rachel's money at first. After Xandra spent $39 and Rachel spent
13 of her money, Xandra had
12 as much money as Rachel.
- How much money did Rachel have at first?
- How much money did Rachel have in the end?
| |
Xandra |
Rachel |
Comparing Xandra
and Rachel at first |
6x3 =
18 u |
5x3 =
15 u |
| Before |
|
3x5 =
15 u |
| Change |
- $39 |
- 1x5 =
- 5 u |
| After |
|
2x5 =
10 u |
Comparing Xandra
and Rachel in the end |
1x5 =
5 u |
2x5 =
10 u |
16 Xandra's money =
15 Rachel's money
Make numerators the same.
16 Xandra's money =
1x15x1 Rachel's money
16 Xandra's money =
15 Rachel's money
Xandra's money : Rachel's money = 6 : 5
The amount that Rachel had at first is repeated. Make the amount that Rachel had at first the same. LCM of 5 and 3 is 15.
Amount that Xandra spent
= 18 u - 5 u
= 13 u
13 u = 39
1 u = 39 ÷ 13 = 3
(a)
Amount that Rachel had at first
= 15 u
= 15 x 3
= $45
(b)
Amount that Rachel had in the end
= 10 u
= 10 x 3
= $30
Answer(s): (a) $45; (b) $30
