Kylie had $500 less than Julian. Julian spent 0.8 of his money and Kylie spent 0.3 of her money. In the end, Julian and Kylie had the same amount of money left. Find the amount of money Kylie had at first.
| |
Kylie |
Julian |
Difference |
| Before |
10 u |
35 u |
25 u |
| Change |
- 1 u |
- 7 u |
|
| After |
7 u |
7 u |
|
0.8 =
45 Fraction of Julian's amount left
= 1 -
45 =
15 0.3 =
310 Fraction of Kylie's amount left
= 1 -
310 =
710 The amount that Julian and Kylie each had in the end is the same. Make the numerators the same. LCM of 1 and 7 is 7.
15 of Julian's amount =
710 of Kylie's amount
735 of Julian's amount =
710 of Kylie's amount
Amount that Kylie had less than Julian
= 35 u - 10 u
= 25 u
25 u = 500
1 u = 500 ÷ 25 = 20
Amount that Kylie had at first
= 10 u
= 10 x 20
= $200
Answer(s): $200
