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