Kylie had $435 less than Daniel. Daniel spent 0.6 of his money and Kylie spent 0.3 of her money. In the end, Daniel and Kylie had the same amount of money left. Find the amount of money Kylie had at first.
| |
Kylie |
Daniel |
Difference |
| Before |
20 u |
35 u |
15 u |
| Change |
- 2 u |
- 7 u |
|
| After |
14 u |
14 u |
|
0.6 =
35 Fraction of Daniel's amount left
= 1 -
35 =
25 0.3 =
310 Fraction of Kylie's amount left
= 1 -
310 =
710 The amount that Daniel and Kylie each had in the end is the same. Make the numerators the same. LCM of 2 and 7 is 14.
25 of Daniel's amount =
710 of Kylie's amount
1435 of Daniel's amount =
1420 of Kylie's amount
Amount that Kylie had less than Daniel
= 35 u - 20 u
= 15 u
15 u = 435
1 u = 435 ÷ 15 = 29
Amount that Kylie had at first
= 20 u
= 20 x 29
= $580
Answer(s): $580
