80% of Erika's amount was $494 more than Mark's amount. When Erika spent 55% of her amount and Mark spent 20% of his amount, they had the same amount of amount left. Find the amount that Mark had at first.
|
80% of Erika's amount |
Erika's amount |
Mark's amount |
Before |
64 u |
80 u |
45 u |
Change |
|
- 44 u (- 55%) |
- 9 u (- 20%) |
After |
|
36 u |
36 u |
Percentage of Erika's amount left
= 100% - 55%
= 45%
Percentage of Mark's amount left
= 100% - 20%
= 80%
45% =
45100 =
920 80% =
80100 =
45 The amounts of amount that Erika and Mark had left were the same.
Make the numerators the same.
920 of Erika's amount =
45 of Mark's amount
3680 of Erika's amount =
3645 of Mark's amount
Amount that Erika had = 80 u
80% of the amount that Erika had
= 80 u x 80%
= 80 u x
80100 = 64 u
Difference between 80% of Erika's amount and Mark's amount
= 64 u - 45 u
= 19 u
19 u = 494
1 u = 494 ÷ 19 = 26
Amount that Mark had at first
= 45 u
= 45 x 26
= $1170
Answer(s): $1170