20% of Barbara's amount was $1426 less than Elijah's amount. When Barbara spent 30% of her amount and Elijah spent 60% of his amount, they had the same amount of amount left. Find the amount that Elijah had at first.
|
Barbara |
Elijah |
Before |
20 u |
35 u |
Change |
- 6 u |
- 21 u |
After |
14 u |
14 u |
Percentage of Barbara's amount left
= 100% - 30%
= 70%
Percentage of Elijah's amount left
= 100% - 60%
= 40%
70% =
70100 =
710 40% =
40100 =
25 The amounts of amount that Barbara and Elijah had left were the same. Make the numerators the same.
710 of Barbara's amount =
25 of Elijah's amount
1420 of Barbara's amount =
1435 of Elijah's amount
Amount that Barbara had = 20 u
20% of the amount that Barbara had
= 20% x 20 u
=
20100 x 20 u
= 4 u
Difference between Elijah's amount and 20% of Barbara's amount
= 35 u - 4 u
= 31 u
31 u = 1426
1 u = 1426 ÷ 31 = 46
Amount that Elijah had at first
= 35 u
= 35 x 46
= $1610
Answer(s): $1610