70% of Xylia's amount was $294 more than Jeremy's amount. When Xylia spent 65% of her amount and Jeremy spent 20% of his amount, they had the same amount of amount left. Find the amount that Jeremy had at first.
|
70% of Xylia's amount |
Xylia's amount |
Jeremy's amount |
Before |
56 u |
80 u |
35 u |
Change |
|
- 52 u (- 65%) |
- 7 u (- 20%) |
After |
|
28 u |
28 u |
Percentage of Xylia's amount left
= 100% - 65%
= 35%
Percentage of Jeremy's amount left
= 100% - 20%
= 80%
35% =
35100 =
720 80% =
80100 =
45 The amounts of amount that Xylia and Jeremy had left were the same.
Make the numerators the same.
720 of Xylia's amount =
45 of Jeremy's amount
2880 of Xylia's amount =
2835 of Jeremy's amount
Amount that Xylia had = 80 u
70% of the amount that Xylia had
= 80 u x 70%
= 80 u x
70100 = 56 u
Difference between 70% of Xylia's amount and Jeremy's amount
= 56 u - 35 u
= 21 u
21 u = 294
1 u = 294 ÷ 21 = 14
Amount that Jeremy had at first
= 35 u
= 35 x 14
= $490
Answer(s): $490