Yoko, Jane and Wendy shared $576 among themselves. Jane and Wendy shared
38 of the money equally. After Jane gave away some of her money to Yoko, Wendy had 4 times as much money as Jane. How much money did Jane give to Yoko?
|
Jane |
Wendy |
Yoko |
Total |
Before |
3x4 = 12 u |
3x4 = 12 u |
10x4 = 40 u |
64 u |
Change |
- 9 u |
No change |
+ 9 u |
|
After |
1x3 = 3 u |
4x3 = 12 u |
49 u |
64 u |
Jane and Wendy shared
38 of the money equally.
Fraction of the money that Jane and Wendy each had
=
38 ÷ 2
=
38 x
12 =
316 The amount that Wendy had remains unchanged. The amount that Wendy had is the unchanged quantity. Make the amount that Wendy had the same. LCM of 3 and 4 is 12.
The amount that Jane and Wendy had at first is the same.
Total amount that they had at first
= 12 u + 12 u + 40 u
= 64 u
64 u = 576
1 u = 576 ÷ 64 = 9
Amount that Jane gave to Yoko
= 12 u - 3 u
= 9 u
= 9 x 9
= $81
Answer(s): $81