Tiffany, Erika and Ivory shared $600 among themselves. Erika and Ivory shared
25 of the money equally. After Erika gave away some of her money to Tiffany, Ivory had 3 times as much money as Erika. How much money did Erika give to Tiffany?
|
Erika |
Ivory |
Tiffany |
Total |
Before |
1x3 = 3 u |
1x3 = 3 u |
3x3 = 9 u |
15 u |
Change |
- 2 u |
No change |
+ 2 u |
|
After |
1x1 = 1 u |
3x1 = 3 u |
11 u |
15 u |
Erika and Ivory shared
25 of the money equally.
Fraction of the money that Erika and Ivory each had
=
25 ÷ 2
=
25 x
12 =
15 The amount that Ivory had remains unchanged. The amount that Ivory had is the unchanged quantity. Make the amount that Ivory had the same. LCM of 1 and 3 is 3.
The amount that Erika and Ivory had at first is the same.
Total amount that they had at first
= 3 u + 3 u + 9 u
= 15 u
15 u = 600
1 u = 600 ÷ 15 = 40
Amount that Erika gave to Tiffany
= 3 u - 1 u
= 2 u
= 2 x 40
= $80
Answer(s): $80