25 of Shiyun's money was equal to
13 of Sarah's money at first. After Shiyun spent $171 and Sarah spent
35 of her money, Shiyun had
12 as much money as Sarah.
- How much money did Sarah have at first?
- How much money did Sarah have in the end?
| |
Shiyun |
Sarah |
Comparing Shiyun
and Sarah at first |
5x5 =
25 u |
6x5 =
30 u |
| Before |
|
5x6 =
30 u |
| Change |
- $171 |
- 3x6 =
- 18 u |
| After |
|
2x6 =
12 u |
Comparing Shiyun
and Sarah in the end |
1x6 =
6 u |
2x6 =
12 u |
25 Shiyun's money =
13 Sarah's money
Make numerators the same.
25 Shiyun's money =
1x23x2 Sarah's money
25 Shiyun's money =
26 Sarah's money
Shiyun's money : Sarah's money = 5 : 6
The amount that Sarah had at first is repeated. Make the amount that Sarah had at first the same. LCM of 6 and 5 is 30.
Amount that Shiyun spent
= 25 u - 6 u
= 19 u
19 u = 171
1 u = 171 ÷ 19 = 9
(a)
Amount that Sarah had at first
= 30 u
= 30 x 9
= $270
(b)
Amount that Sarah had in the end
= 12 u
= 12 x 9
= $108
Answer(s): (a) $270; (b) $108
