80% of Vanessa's amount was $112 more than Pierre's amount. When Vanessa spent 60% of her amount and Pierre spent 30% of his amount, they had the same amount of amount left. Find the amount that Pierre had at first.
|
80% of Vanessa's amount |
Vanessa's amount |
Pierre's amount |
Before |
28 u |
35 u |
20 u |
Change |
|
- 21 u (- 60%) |
- 6 u (- 30%) |
After |
|
14 u |
14 u |
Percentage of Vanessa's amount left
= 100% - 60%
= 40%
Percentage of Pierre's amount left
= 100% - 30%
= 70%
40% =
40100 =
25 70% =
70100 =
710 The amounts of amount that Vanessa and Pierre had left were the same.
Make the numerators the same.
25 of Vanessa's amount =
710 of Pierre's amount
1435 of Vanessa's amount =
1420 of Pierre's amount
Amount that Vanessa had = 35 u
80% of the amount that Vanessa had
= 35 u x 80%
= 35 u x
80100 = 28 u
Difference between 80% of Vanessa's amount and Pierre's amount
= 28 u - 20 u
= 8 u
8 u = 112
1 u = 112 ÷ 8 = 14
Amount that Pierre had at first
= 20 u
= 20 x 14
= $280
Answer(s): $280