Wendy, Tina and Yen shared $585 among themselves. Tina and Yen shared
29 of the money equally. After Tina gave away some of her money to Wendy, Yen had 5 times as much money as Tina. How much money did Tina give to Wendy?
|
Tina |
Yen |
Wendy |
Total |
Before |
1x5 = 5 u |
1x5 = 5 u |
7x5 = 35 u |
45 u |
Change |
- 4 u |
No change |
+ 4 u |
|
After |
1x1 = 1 u |
5x1 = 5 u |
39 u |
45 u |
Tina and Yen shared
29 of the money equally.
Fraction of the money that Tina and Yen each had
=
29 ÷ 2
=
29 x
12 =
19 The amount that Yen had remains unchanged. The amount that Yen had is the unchanged quantity. Make the amount that Yen had the same. LCM of 1 and 5 is 5.
The amount that Tina and Yen had at first is the same.
Total amount that they had at first
= 5 u + 5 u + 35 u
= 45 u
45 u = 585
1 u = 585 ÷ 45 = 13
Amount that Tina gave to Wendy
= 5 u - 1 u
= 4 u
= 4 x 13
= $52
Answer(s): $52