Raeann had $737 and Billy had $502 less than Raeann at first. After Raeann gave some money to Billy, Billy had 2 times as much as Raeann. How much did Raeann give to Billy?
|
Raeann |
Billy |
Total |
Before |
$737 |
$235 |
$972 |
Change |
- ? |
+ ? |
|
After |
1 u |
2 u |
$972 |
Amount that Raeann had = $737
Amount that Billy had
= 737 - 502
= $235
Total amount that Raeann and Billy had
= 737 + 235
= $972
Amount that Raeann had in the end = 1 u
Amount that Billy had in the end = 2 u
Total amount that Raeann and Billy had
= 1 u + 2 u
= 3 u
As Raeann gave some money to Billy, the total amount that Billy and Raeann had at first and in the end remains unchanged.
3 u = 972
1 u = 972 ÷ 3 = 324
Amount that Raeann gave Billy
= 737 - 324
= $413
Answer(s): $413