Fanny had $480 less than Henry. Henry spent 0.9 of his money and Fanny spent 0.3 of her money. In the end, Henry and Fanny had the same amount of money left. Find the amount of money Fanny had at first.
| |
Fanny |
Henry |
Difference |
| Before |
10 u |
70 u |
60 u |
| Change |
- 1 u |
- 7 u |
|
| After |
7 u |
7 u |
|
0.9 =
910 Fraction of Henry's amount left
= 1 -
910 =
110 0.3 =
310 Fraction of Fanny's amount left
= 1 -
310 =
710 The amount that Henry and Fanny each had in the end is the same. Make the numerators the same. LCM of 1 and 7 is 7.
110 of Henry's amount =
710 of Fanny's amount
770 of Henry's amount =
710 of Fanny's amount
Amount that Fanny had less than Henry
= 70 u - 10 u
= 60 u
60 u = 480
1 u = 480 ÷ 60 = 8
Amount that Fanny had at first
= 10 u
= 10 x 8
= $80
Answer(s): $80
