35 of Dana's money was equal to
12 of Shiyun's money at first. After Dana spent $18 and Shiyun spent
13 of her money, Dana had
12 as much money as Shiyun.
- How much money did Shiyun have at first?
- How much money did Shiyun have in the end?
| |
Dana |
Shiyun |
Comparing Dana
and Shiyun at first |
5x1 =
5 u |
6x1 =
6 u |
| Before |
|
3x2 =
6 u |
| Change |
- $18 |
- 1x2 =
- 2 u |
| After |
|
2x2 =
4 u |
Comparing Dana
and Shiyun in the end |
1x2 =
2 u |
2x2 =
4 u |
35 Dana's money =
12 Shiyun's money
Make numerators the same.
35 Dana's money =
1x32x3 Shiyun's money
35 Dana's money =
36 Shiyun's money
Dana's money : Shiyun's money = 5 : 6
The amount that Shiyun had at first is repeated. Make the amount that Shiyun had at first the same. LCM of 6 and 3 is 6.
Amount that Dana spent
= 5 u - 2 u
= 3 u
3 u = 18
1 u = 18 ÷ 3 = 6
(a)
Amount that Shiyun had at first
= 6 u
= 6 x 6
= $36
(b)
Amount that Shiyun had in the end
= 4 u
= 4 x 6
= $24
Answer(s): (a) $36; (b) $24
