90% of Cindy's amount was $777 more than Ahmad's amount. When Cindy spent 65% of her amount and Ahmad spent 20% of his amount, they had the same amount of amount left. Find the amount that Ahmad had at first.
|
90% of Cindy's amount |
Cindy's amount |
Ahmad's amount |
Before |
72 u |
80 u |
35 u |
Change |
|
- 52 u (- 65%) |
- 7 u (- 20%) |
After |
|
28 u |
28 u |
Percentage of Cindy's amount left
= 100% - 65%
= 35%
Percentage of Ahmad's amount left
= 100% - 20%
= 80%
35% =
35100 =
720 80% =
80100 =
45 The amounts of amount that Cindy and Ahmad had left were the same.
Make the numerators the same.
720 of Cindy's amount =
45 of Ahmad's amount
2880 of Cindy's amount =
2835 of Ahmad's amount
Amount that Cindy had = 80 u
90% of the amount that Cindy had
= 80 u x 90%
= 80 u x
90100 = 72 u
Difference between 90% of Cindy's amount and Ahmad's amount
= 72 u - 35 u
= 37 u
37 u = 777
1 u = 777 ÷ 37 = 21
Amount that Ahmad had at first
= 35 u
= 35 x 21
= $735
Answer(s): $735