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

Sam initially made 45 bread rolls

Step-by-step explanation:

Let x = total number of bread rolls made by Sam. He gives 2/5 of the bread to his neighbor. This means he gave 2/5 * x =

2x/5 bread rolls to his neighbor.

The remainder would be x - 2x/5 = 3x/5

He gave 4/9 of the remainder to his cousin = 4/9 * 3x/5=12x/45

=4x/15

He has 15 bread rolls left

Total number of bread rolls = what he has left + what he gave his cousin + what he gave his neighbor

x = 15 + 4x/15 + 2x/5

Taking LCM of 15 and cross multiplying

15x = 225+4x + 6x

15x = 225 + 10x

15x-10x = 225

5x = 225

x = 225/5 = 45

Sam initially made 45 bread rolls