Abi, Victoria and Hazel shared $440 among themselves. Victoria and Hazel shared
25 of the money equally. After Victoria gave away some of her money to Abi, Hazel had 4 times as much money as Victoria. How much money did Victoria give to Abi?
|
Victoria |
Hazel |
Abi |
Total |
Before |
1x4 = 4 u |
1x4 = 4 u |
3x4 = 12 u |
20 u |
Change |
- 3 u |
No change |
+ 3 u |
|
After |
1x1 = 1 u |
4x1 = 4 u |
15 u |
20 u |
Victoria and Hazel shared
25 of the money equally.
Fraction of the money that Victoria and Hazel each had
=
25 ÷ 2
=
25 x
12 =
15 The amount that Hazel had remains unchanged. The amount that Hazel had is the unchanged quantity. Make the amount that Hazel had the same. LCM of 1 and 4 is 4.
The amount that Victoria and Hazel had at first is the same.
Total amount that they had at first
= 4 u + 4 u + 12 u
= 20 u
20 u = 440
1 u = 440 ÷ 20 = 22
Amount that Victoria gave to Abi
= 4 u - 1 u
= 3 u
= 3 x 22
= $66
Answer(s): $66