Vanessa had $950 and Peter had $430 less than Vanessa at first. After Vanessa gave some money to Peter, Peter had 5 times as much as Vanessa. How much did Vanessa give to Peter?
| |
Vanessa |
Peter |
Total |
| Before |
$950 |
$520 |
$1470 |
| Change |
- ? |
+ ? |
|
| After |
1 u |
5 u |
$1470 |
Amount that Vanessa had = $950
Amount that Peter had
= 950 - 430
= $520
Total amount that Vanessa and Peter had
= 950 + 520
= $1470
Amount that Vanessa had in the end = 1 u
Amount that Peter had in the end = 5 u
Total amount that Vanessa and Peter had
= 1 u + 5 u
= 6 u
As Vanessa gave some money to Peter, the total amount that Peter and Vanessa had at first and in the end remains unchanged.
6 u = 1470
1 u = 1470 ÷ 6 = 245
Amount that Vanessa gave Peter
= 950 - 245
= $705
Answer(s): $705
