Ben and Rael had $651 altogether. After Ben spent
13 of his money and Rael spent
56 of his money, Ben was left with thrice as much money as Rael. How much money did Rael have at first?
| |
Ben |
Rael |
Total |
| Before |
3x3 =
9 u |
6x2 =
12 u |
$651 |
| Change |
- 1x3 =
- 3 u |
- 5x2 =
- 10 u |
|
| After |
2x3 =
6 u |
1x2 =
2 u |
|
Comparing Ben
and Rael in the end |
3x2 =
6 u |
1x2 =
2 u |
|
The amount that Ben had in the end is repeated. Make the amount that Ben had in the end the same. LCM of 2 and 3 is 6.
Total amount that Ben and Rael had at first
= 9 u + 12 u
= 21 u
21 u = 651
1 u = 651 ÷ 21 = 31
Amount that Rael had at first
= 12 u
= 12 x 31
= $372
Answer(s): $372
