40% of Xandra's amount was $882 less than Mark's amount. When Xandra spent 35% of her amount and Mark spent 60% of his amount, they had the same amount of amount left. Find the amount that Mark had at first.
|
Xandra |
Mark |
Before |
40 u |
65 u |
Change |
- 14 u |
- 39 u |
After |
26 u |
26 u |
Percentage of Xandra's amount left
= 100% - 35%
= 65%
Percentage of Mark's amount left
= 100% - 60%
= 40%
65% =
65100 =
1320 40% =
40100 =
25 The amounts of amount that Xandra and Mark had left were the same. Make the numerators the same.
1320 of Xandra's amount =
25 of Mark's amount
2640 of Xandra's amount =
2665 of Mark's amount
Amount that Xandra had = 40 u
40% of the amount that Xandra had
= 40% x 40 u
=
40100 x 40 u
= 16 u
Difference between Mark's amount and 40% of Xandra's amount
= 65 u - 16 u
= 49 u
49 u = 882
1 u = 882 ÷ 49 = 18
Amount that Mark had at first
= 65 u
= 65 x 18
= $1170
Answer(s): $1170