70% of Gwen's amount was $1470 more than Neave's amount. When Gwen spent 65% of her amount and Neave spent 35% of his amount, they had the same amount of amount left. Find the amount that Neave had at first.
|
70% of Gwen's amount |
Gwen's amount |
Neave's amount |
Before |
182 u |
260 u |
140 u |
Change |
|
- 169 u (- 65%) |
- 49 u (- 35%) |
After |
|
91 u |
91 u |
Percentage of Gwen's amount left
= 100% - 65%
= 35%
Percentage of Neave's amount left
= 100% - 35%
= 65%
35% =
35100 =
720 65% =
65100 =
1320 The amounts of amount that Gwen and Neave had left were the same.
Make the numerators the same.
720 of Gwen's amount =
1320 of Neave's amount
91260 of Gwen's amount =
91140 of Neave's amount
Amount that Gwen had = 260 u
70% of the amount that Gwen had
= 260 u x 70%
= 260 u x
70100 = 182 u
Difference between 70% of Gwen's amount and Neave's amount
= 182 u - 140 u
= 42 u
42 u = 1470
1 u = 1470 ÷ 42 = 35
Amount that Neave had at first
= 140 u
= 140 x 35
= $4900
Answer(s): $4900