SOLUTION: Sam makes some bread rolls. He gives 2/5 of the bread rolls to his neighbor and 4/9 of the remainder to his cousin. He has 15 bread rolls left. How many bread rolls does Sam make?

Question 1063706: Sam makes some bread rolls. He gives 2/5 of the bread rolls to his neighbor and 4/9 of the remainder to his cousin. He has 15 bread rolls left. How many bread rolls does Sam make?
Found 2 solutions by ikleyn, ankor@dixie-net.com:
Answer by ikleyn(52879) (Show Source): You can put this solution on YOUR website!
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Sam makes some bread rolls. He gives 2/5 of the bread rolls to his neighbor and 4/9 of the remainder to his cousin.
He has 15 bread rolls left. How many bread rolls does Sam make?
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= x.

Simplify and solve for x.

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Sam makes some bread rolls. He gives 2/5 of the bread rolls to his neighbor and 4/9 of the remainder to his cousin.
He has 15 bread rolls left.
How many bread rolls does Sam make?
let b = total number of bread rolls made
The remainder is 3/5
b = b + *b + 15
b = b + b + 15
multiply by 45 to get rid of the fractions
45b = 9(2b) + 12b + 45(15)
45b = 18b + 12b + 675
45b = 30b + 675
45b - 30b = 675
15b = 675
b = 675/15
b = 45 rolls total
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