70% of Julie's amount was $136 more than Cole's amount. When Julie spent 55% of her amount and Cole spent 30% of his amount, they had the same amount of amount left. Find the amount that Cole had at first.
|
70% of Julie's amount |
Julie's amount |
Cole's amount |
Before |
98 u |
140 u |
90 u |
Change |
|
- 77 u (- 55%) |
- 27 u (- 30%) |
After |
|
63 u |
63 u |
Percentage of Julie's amount left
= 100% - 55%
= 45%
Percentage of Cole's amount left
= 100% - 30%
= 70%
45% =
45100 =
920 70% =
70100 =
710 The amounts of amount that Julie and Cole had left were the same.
Make the numerators the same.
920 of Julie's amount =
710 of Cole's amount
63140 of Julie's amount =
6390 of Cole's amount
Amount that Julie had = 140 u
70% of the amount that Julie had
= 140 u x 70%
= 140 u x
70100 = 98 u
Difference between 70% of Julie's amount and Cole's amount
= 98 u - 90 u
= 8 u
8 u = 136
1 u = 136 ÷ 8 = 17
Amount that Cole had at first
= 90 u
= 90 x 17
= $1530
Answer(s): $1530