Reggie and Ben had $2816 altogether. After Reggie spent
16 of his money and Ben spent
78 of his money, Reggie was left with four times as much money as Ben. How much money did Ben have at first?
| |
Reggie |
Ben |
Total |
| Before |
6x4 =
24 u |
8x5 =
40 u |
$2816 |
| Change |
- 1x4 =
- 4 u |
- 7x5 =
- 35 u |
|
| After |
5x4 =
20 u |
1x5 =
5 u |
|
Comparing Reggie
and Ben in the end |
4x5 =
20 u |
1x5 =
5 u |
|
The amount that Reggie had in the end is repeated. Make the amount that Reggie had in the end the same. LCM of 5 and 4 is 20.
Total amount that Reggie and Ben had at first
= 24 u + 40 u
= 64 u
64 u = 2816
1 u = 2816 ÷ 64 = 44
Amount that Ben had at first
= 40 u
= 40 x 44
= $1760
Answer(s): $1760
