To find out how many bread rolls Sam made, let's break down the information given:
1. Sam gives 2/5 of the bread rolls to his neighbor.
2. After giving the rolls to his neighbor, he has a remainder.
3. Sam gives 4/9 of the remainder to his cousin.
4. After giving rolls to his cousin, he has 15 bread rolls left.
Let's work through the problem step by step:
Step 1: Sam gives 2/5 of the bread rolls to his neighbor.
Let's represent the total number of bread rolls Sam made as "x". Since Sam gives 2/5 of x to his neighbor, the neighbor receives 2/5 * x bread rolls. This means the remainder that Sam has after giving some rolls to his neighbor is (1 - 2/5) * x.
Step 2: After giving rolls to his neighbor, Sam has a remainder.
The remainder Sam has after giving some rolls to his neighbor is (1 - 2/5) * x. Let's represent the remainder as "y".
Step 3: Sam gives 4/9 of the remainder to his cousin.
Sam gives 4/9 of y to his cousin. This means his cousin receives 4/9 * y bread rolls. The remaining rolls Sam has after giving some to his cousin can be calculated as (1 - 4/9) * y.
Step 4: After giving rolls to his cousin, Sam has 15 bread rolls left.
The remaining rolls Sam has after giving some to his cousin can be calculated as (1 - 4/9) * y, and we know that this is equal to 15. So we have the equation (1 - 4/9) * y = 15.
To find the value of x (the total number of bread rolls Sam made), we need to solve for y using the equation derived in Step 4.