Erika, Elyse and Jean shared $210 among themselves. Elyse and Jean shared
37 of the money equally. After Elyse gave away some of her money to Erika, Jean had 5 times as much money as Elyse. How much money did Elyse give to Erika?
|
Elyse |
Jean |
Erika |
Total |
Before |
3x5 = 15 u |
3x5 = 15 u |
8x5 = 40 u |
70 u |
Change |
- 12 u |
No change |
+ 12 u |
|
After |
1x3 = 3 u |
5x3 = 15 u |
52 u |
70 u |
Elyse and Jean shared
37 of the money equally.
Fraction of the money that Elyse and Jean each had
=
37 ÷ 2
=
37 x
12 =
314 The amount that Jean had remains unchanged. The amount that Jean had is the unchanged quantity. Make the amount that Jean had the same. LCM of 3 and 5 is 15.
The amount that Elyse and Jean had at first is the same.
Total amount that they had at first
= 15 u + 15 u + 40 u
= 70 u
70 u = 210
1 u = 210 ÷ 70 = 3
Amount that Elyse gave to Erika
= 15 u - 3 u
= 12 u
= 12 x 3
= $36
Answer(s): $36