35 of Nicole's money was equal to
12 of Shiyun's money at first. After Nicole spent $133 and Shiyun spent
35 of her money, Nicole had
12 as much money as Shiyun.
- How much money did Shiyun have at first?
- How much money did Shiyun have in the end?
| |
Nicole |
Shiyun |
Comparing Nicole
and Shiyun at first |
5x5 =
25 u |
6x5 =
30 u |
| Before |
|
5x6 =
30 u |
| Change |
- $133 |
- 3x6 =
- 18 u |
| After |
|
2x6 =
12 u |
Comparing Nicole
and Shiyun in the end |
1x6 =
6 u |
2x6 =
12 u |
35 Nicole's money =
12 Shiyun's money
Make numerators the same.
35 Nicole's money =
1x32x3 Shiyun's money
35 Nicole's money =
36 Shiyun's money
Nicole'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 5 is 30.
Amount that Nicole spent
= 25 u - 6 u
= 19 u
19 u = 133
1 u = 133 ÷ 19 = 7
(a)
Amount that Shiyun had at first
= 30 u
= 30 x 7
= $210
(b)
Amount that Shiyun had in the end
= 12 u
= 12 x 7
= $84
Answer(s): (a) $210; (b) $84
