Fanny had $22 less than Victoria. Victoria spent
38 of her money and Fanny spent
56 of her money. In the end, Victoria had 4 times as much as Fanny. Find the amount of money Victoria had at first.
| |
Victoria |
Fanny |
Comparing Victoria
and Fanny at first |
$22 more |
|
| Before |
8x4 =
32 u |
6x5 =
30 u |
| Change |
- 3x4 =
- 12 u |
- 5x5 =
- 25 u |
| After |
5x4 =
20 u |
1x5 =
5 u |
Comparing Victoria
and Fanny in the end |
4x5 =
20 u |
1x5 =
5 u |
The amount that Victoria had in the end is repeated. Make the amount that Victoria had in the end the same. LCM of 4 and 5 is 20.
Amount that Fanny had less than Victoria
= 32 u - 30 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
Amount that Victoria had at first
= 32 u
= 32 x 11
= $352
Answer(s): $352
