Irene had $821 and Ben had $550 less than Irene at first. After Irene gave some money to Ben, Ben had 3 times as much as Irene. How much did Irene give to Ben?
| |
Irene |
Ben |
Total |
| Before |
$821 |
$271 |
$1092 |
| Change |
- ? |
+ ? |
|
| After |
1 u |
3 u |
$1092 |
Amount that Irene had = $821
Amount that Ben had
= 821 - 550
= $271
Total amount that Irene and Ben had
= 821 + 271
= $1092
Amount that Irene had in the end = 1 u
Amount that Ben had in the end = 3 u
Total amount that Irene and Ben had
= 1 u + 3 u
= 4 u
As Irene gave some money to Ben, the total amount that Ben and Irene had at first and in the end remains unchanged.
4 u = 1092
1 u = 1092 ÷ 4 = 273
Amount that Irene gave Ben
= 821 - 273
= $548
Answer(s): $548
