Mary had $450 less than Julian. Julian spent 0.8 of his money and Mary spent 0.3 of her money. In the end, Julian and Mary had the same amount of money left. Find the amount of money Mary had at first.
| |
Mary |
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 Mary's amount left
= 1 -
310 =
710 The amount that Julian and Mary 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 Mary's amount
735 of Julian's amount =
710 of Mary's amount
Amount that Mary had less than Julian
= 35 u - 10 u
= 25 u
25 u = 450
1 u = 450 ÷ 25 = 18
Amount that Mary had at first
= 10 u
= 10 x 18
= $180
Answer(s): $180
