70% of Tammy's amount was $231 more than Bryan's amount. When Tammy spent 60% of her amount and Bryan spent 35% of his amount, they had the same amount of amount left. Find the amount that Bryan had at first.
|
70% of Tammy's amount |
Tammy's amount |
Bryan's amount |
Before |
45.5 u |
65 u |
40 u |
Change |
|
- 39 u (- 60%) |
- 14 u (- 35%) |
After |
|
26 u |
26 u |
Percentage of Tammy's amount left
= 100% - 60%
= 40%
Percentage of Bryan's amount left
= 100% - 35%
= 65%
40% =
40100 =
25 65% =
65100 =
1320 The amounts of amount that Tammy and Bryan had left were the same.
Make the numerators the same.
25 of Tammy's amount =
1320 of Bryan's amount
2665 of Tammy's amount =
2640 of Bryan's amount
Amount that Tammy had = 65 u
70% of the amount that Tammy had
= 65 u x 70%
= 65 u x
70100 = 45.5 u
Difference between 70% of Tammy's amount and Bryan's amount
= 45.5 u - 40 u
= 5.5 u
5.5 u = 231
1 u = 231 ÷ 5.5 = 42
Amount that Bryan had at first
= 40 u
= 40 x 42
= $1680
Answer(s): $1680