35 of Sarah's money was equal to
13 of Shiyun's money at first. After Sarah spent $64 and Shiyun spent
25 of her money, Sarah had
13 as much money as Shiyun.
- How much money did Shiyun have at first?
- How much money did Shiyun have in the end?
| |
Sarah |
Shiyun |
Comparing Sarah
and Shiyun at first |
5x5 =
25 u |
9x5 =
45 u |
| Before |
|
5x9 =
45 u |
| Change |
- $64 |
- 2x9 =
- 18 u |
| After |
|
3x9 =
27 u |
Comparing Sarah
and Shiyun in the end |
1x9 =
9 u |
3x9 =
27 u |
35 Sarah's money =
13 Shiyun's money
Make numerators the same.
35 Sarah's money =
1x33x3 Shiyun's money
35 Sarah's money =
39 Shiyun's money
Sarah's money : Shiyun's money = 5 : 9
The amount that Shiyun had at first is repeated. Make the amount that Shiyun had at first the same. LCM of 9 and 5 is 45.
Amount that Sarah spent
= 25 u - 9 u
= 16 u
16 u = 64
1 u = 64 ÷ 16 = 4
(a)
Amount that Shiyun had at first
= 45 u
= 45 x 4
= $180
(b)
Amount that Shiyun had in the end
= 27 u
= 27 x 4
= $108
Answer(s): (a) $180; (b) $108
