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?

Algebra ->  Percentage-and-ratio-word-problems -> 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?      Log On


   



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) About Me  (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?
~~~~~~~~~~~~~~~~~~~~~~~

%282%2F5%29x+%2B+%284%2F9%29%2A%28x-%282%2F5%29x%29+%2B+15 = x.

Simplify and solve for x.



Answer by ankor@dixie-net.com(22740) About Me  (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 = 2%2F5b + 4%2F9*3%2F5b + 15
b = 2%2F5b + 12%2F45b + 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