Reggie and Elijah had $713 altogether. After Reggie spent
15 of his money and Elijah spent
34 of his money, Reggie was left with thrice as much money as Elijah. How much money did Elijah have at first?
|
Reggie |
Elijah |
Total |
Before |
5x3 = 15 u |
4x4 = 16 u |
$713 |
Change |
- 1x3 = - 3 u |
- 3x4 = - 12 u |
|
After |
4x3 = 12 u |
1x4 = 4 u |
|
Comparing Reggie and Elijah in the end |
3x4 = 12 u |
1x4 = 4 u |
|
The amount that Reggie had in the end is repeated. Make the amount that Reggie had in the end the same. LCM of 4 and 3 is 12.
Total amount that Reggie and Elijah had at first
= 15 u + 16 u
= 31 u
31 u = 713
1 u = 713 ÷ 31 = 23
Amount that Elijah had at first
= 16 u
= 16 x 23
= $368
Answer(s): $368