23 of Usha's money was equal to
14 of Winnie's money at first. After Usha spent $56 and Winnie spent
35 of her money, Usha had
12 as much money as Winnie.
- How much money did Winnie have at first?
- How much money did Winnie have in the end?
| |
Usha |
Winnie |
Comparing Usha
and Winnie at first |
3x5 =
15 u |
8x5 =
40 u |
| Before |
|
5x8 =
40 u |
| Change |
- $56 |
- 3x8 =
- 24 u |
| After |
|
2x8 =
16 u |
Comparing Usha
and Winnie in the end |
1x8 =
8 u |
2x8 =
16 u |
23 Usha's money =
14 Winnie's money
Make numerators the same.
23 Usha's money =
1x24x2 Winnie's money
23 Usha's money =
28 Winnie's money
Usha's money : Winnie's money = 3 : 8
The amount that Winnie had at first is repeated. Make the amount that Winnie had at first the same. LCM of 8 and 5 is 40.
Amount that Usha spent
= 15 u - 8 u
= 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
(a)
Amount that Winnie had at first
= 40 u
= 40 x 8
= $320
(b)
Amount that Winnie had in the end
= 16 u
= 16 x 8
= $128
Answer(s): (a) $320; (b) $128
