Xylia had $400 less than Julian. Julian spent 0.7 of his money and Xylia spent 0.3 of her money. In the end, Julian and Xylia had the same amount of money left. Find the amount of money Xylia had at first.
| |
Xylia |
Julian |
Difference |
| Before |
30 u |
70 u |
40 u |
| Change |
- 3 u |
- 7 u |
|
| After |
21 u |
21 u |
|
0.7 =
710 Fraction of Julian's amount left
= 1 -
710 =
310 0.3 =
310 Fraction of Xylia's amount left
= 1 -
310 =
710 The amount that Julian and Xylia each had in the end is the same. Make the numerators the same. LCM of 3 and 7 is 21.
310 of Julian's amount =
710 of Xylia's amount
2170 of Julian's amount =
2130 of Xylia's amount
Amount that Xylia had less than Julian
= 70 u - 30 u
= 40 u
40 u = 400
1 u = 400 ÷ 40 = 10
Amount that Xylia had at first
= 30 u
= 30 x 10
= $300
Answer(s): $300
