Answer:
Sam made 45 rolls
Step-by-step explanation:
After giving some to his neighbor, Sam has 1 -2/5 = 3/5 of the original quantity left. After giving some to his cousin, he has (3/5)(1 -4/9) = (3/5)(5/9) of the original quantity left.
(3/5)(5/9) = 3/9 = 1/3
15 rolls = (1/3)·(original number) . . . . . . Sam has 15 roll left
45 rolls = original number . . . . . . . . . . . multiply by 3
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Check
Same gave 2/5·45 = 18 rolls to his neigbor, so had 27 left. Sam gave 4/9·27 = 12 to his cousin, so had 15 left.
Answer:Sam made 45 bread rolls.
Step-by-step explanation:
Let x represent the number of bread rolls that Sam made.
Sam makes bread rolls he gives 2/5 of the bread rolls to his neighbor. This means that the number of bread rolls that Sam gave to his neighbor is
2/5 × x = 2x/5
The remainder would be
x - 2x/5 = 3x/5
He gave 4/9 the remainder to his cousin. This means the number of bread rolls that he gave to his brother is
4/9 × 3x/5 = 4x/15
The number of bread rolls that he has left is
3x/5 - 4x/15 = 5x/15 = x/3
If he has 15 bread left, it means thagv
x/3 = 15
x = 45
