Oscar, Albert and Brandon shared $451. During a shopping trip, Oscar spent
25 of his share, Albert spent
34 of his share and Brandon spent
13 of his share. Given that all three boys each spent the same amount of money, how much more money do Oscar and Albert have than Brandon in the end?
|
Oscar |
Albert |
Brandon |
Total |
Before |
5x3 = 15 u |
4x2 = 8 u |
3x6 = 18 u |
$451 |
Change |
- 2x3 = - 6 u |
- 3x2 = - 6 u |
- 1x6 = - 6 u |
|
After |
3x3 = 9 u |
1x2 = 2 u |
2x6 = 12 u |
|
The amounts that Oscar, Albert and Brandon spent is the same. Make the amounts that each boy spent the same. LCM of 2, 3 and 1 is 6.
Amounts that the 3 boys had at first
= 15 u + 8 u + 18 u
= 41 u
41 u = 451
1 u = 451 ÷ 41 = 11
Amount that Oscar and Albert have in the end
= 9 u + 2 u
= 11 u
Amount that Oscar and Albert have more than Brandon in the end
= 11 u - 12 u
= -1 u
= -1 x 11
= $-11
Answer(s): $-11