Elijah and Jeremy had a total of $345. Elijah gave $41 to Jeremy. In return, Jeremy gave
16 of his money to Elijah. In the end, Elijah had twice as much money as Jeremy. How much money did Elijah have at first?
| |
Elijah |
Jeremy |
Total |
| Before |
|
|
$345 |
| Change 1 |
- $41 |
+ $41 |
|
| After 1 |
|
6 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
5 p |
|
Comparing Elijah
and Jeremy
in the end |
2 u |
1 u |
$345 |
The total amount that Jeremy and Elijah had remains unchanged.
Total amount in the end
= 2 u + 1 u
= 3 u
3 u = 345
1 u = 345 ÷ 3 = 115
Amount that Elijah has in the end
= 2 u
= 2 x 115
= $230
Amount that Jeremy has in the end
= 1 u
= $115
5 p = 1 u = 115
1 p = 115 ÷ 5 = 23
Amount that Jeremy gave to Elijah
= 1 p
= 1 x 23
= $23
Amount that Elijah had at first
= 230 - 23 + 41
= $248
Answer(s): $248
