34 of Lucy's money was equal to
13 of Raeann's money at first. After Lucy spent $77 and Raeann spent
25 of her money, Lucy had
13 as much money as Raeann.
- How much money did Raeann have at first?
- How much money did Raeann have in the end?
| |
Lucy |
Raeann |
Comparing Lucy
and Raeann at first |
4x5 =
20 u |
9x5 =
45 u |
| Before |
|
5x9 =
45 u |
| Change |
- $77 |
- 2x9 =
- 18 u |
| After |
|
3x9 =
27 u |
Comparing Lucy
and Raeann in the end |
1x9 =
9 u |
3x9 =
27 u |
34 Lucy's money =
13 Raeann's money
Make numerators the same.
34 Lucy's money =
1x33x3 Raeann's money
34 Lucy's money =
39 Raeann's money
Lucy's money : Raeann's money = 4 : 9
The amount that Raeann had at first is repeated. Make the amount that Raeann had at first the same. LCM of 9 and 5 is 45.
Amount that Lucy spent
= 20 u - 9 u
= 11 u
11 u = 77
1 u = 77 ÷ 11 = 7
(a)
Amount that Raeann had at first
= 45 u
= 45 x 7
= $315
(b)
Amount that Raeann had in the end
= 27 u
= 27 x 7
= $189
Answer(s): (a) $315; (b) $189
