Ben and Elijah had $1911 altogether. After Ben spent
16 of his money and Elijah spent
45 of his money, Ben was left with four times as much money as Elijah. How much money did Elijah have at first?
| |
Ben |
Elijah |
Total |
| Before |
6x4 =
24 u |
5x5 =
25 u |
$1911 |
| Change |
- 1x4 =
- 4 u |
- 4x5 =
- 20 u |
|
| After |
5x4 =
20 u |
1x5 =
5 u |
|
Comparing Ben
and Elijah in the end |
4x5 =
20 u |
1x5 =
5 u |
|
The amount that Ben had in the end is repeated. Make the amount that Ben had in the end the same. LCM of 5 and 4 is 20.
Total amount that Ben and Elijah had at first
= 24 u + 25 u
= 49 u
49 u = 1911
1 u = 1911 ÷ 49 = 39
Amount that Elijah had at first
= 25 u
= 25 x 39
= $975
Answer(s): $975
