Fanny had $425 less than Jenson. Jenson spent 0.8 of his money and Fanny spent 0.3 of her money. In the end, Jenson and Fanny had the same amount of money left. Find the amount of money Fanny had at first.
| |
Fanny |
Jenson |
Difference |
| Before |
10 u |
35 u |
25 u |
| Change |
- 1 u |
- 7 u |
|
| After |
7 u |
7 u |
|
0.8 =
45 Fraction of Jenson's amount left
= 1 -
45 =
15 0.3 =
310 Fraction of Fanny's amount left
= 1 -
310 =
710 The amount that Jenson and Fanny each had in the end is the same. Make the numerators the same. LCM of 1 and 7 is 7.
15 of Jenson's amount =
710 of Fanny's amount
735 of Jenson's amount =
710 of Fanny's amount
Amount that Fanny had less than Jenson
= 35 u - 10 u
= 25 u
25 u = 425
1 u = 425 ÷ 25 = 17
Amount that Fanny had at first
= 10 u
= 10 x 17
= $170
Answer(s): $170
