Shiyun, Jaslyn and Jen shared $350 among themselves. Jaslyn and Jen shared
25 of the money equally. After Jaslyn gave away some of her money to Shiyun, Jen had 5 times as much money as Jaslyn. How much money did Jaslyn give to Shiyun?
|
Jaslyn |
Jen |
Shiyun |
Total |
Before |
1x5 = 5 u |
1x5 = 5 u |
3x5 = 15 u |
25 u |
Change |
- 4 u |
No change |
+ 4 u |
|
After |
1x1 = 1 u |
5x1 = 5 u |
19 u |
25 u |
Jaslyn and Jen shared
25 of the money equally.
Fraction of the money that Jaslyn and Jen each had
=
25 ÷ 2
=
25 x
12 =
15 The amount that Jen had remains unchanged. The amount that Jen had is the unchanged quantity. Make the amount that Jen had the same. LCM of 1 and 5 is 5.
The amount that Jaslyn and Jen had at first is the same.
Total amount that they had at first
= 5 u + 5 u + 15 u
= 25 u
25 u = 350
1 u = 350 ÷ 25 = 14
Amount that Jaslyn gave to Shiyun
= 5 u - 1 u
= 4 u
= 4 x 14
= $56
Answer(s): $56