Question

Dustin decides to try selling whole-wheat muffins and bagels at his farm stand. He has $60 to spend on ingredients and 8 hours to prepare the muffins and bagels that he will sell on opening day. One dozen muffins costs $10 and takes 1 hour to make, while one dozen bagels costs $15 and takes 3 hours to make. Graph all possible combinations of the food that meets his goal. Which combination of bagels and muffins would meet Dustin's goal?

A. 4 dozen bagels and 3 dozen muffins
B. 2 dozen bagels and 6 dozen muffins
C. 3 dozen bagels and 1 dozen muffins
D. 1 dozen bagels and 3 dozen muffins

Answer 1

The correct answer is D.

Explanation:

Option A establishes that 4 dozen bagels and 3 dozen muffins will be prepared, thus spending $ 30 and 3 hours on muffins and $ 60 and 12 hours on bagels. In total, $ 90 and 15 hours will be spent, so this option is not correct.

Option B establishes that 2 dozen bagels and 6 dozen muffins will be prepared, thus spending $ 60 and 6 hours on muffins and $ 30 and 6 hours on bagels. In total, $ 90 and 12 hours will be spent, so this option is not correct either.

Option C states that 3 dozen bagels and 1 dozen muffins will be prepared, which will spend $ 10 and 1 hour on muffins and $ 45 and 9 hours on bagels. In total, $ 55 and 10 hours will be spent, so this option is not correct.

Finally, option D establishes that 1 dozen bagels and 3 dozen muffins will be prepared, thus spending $ 30 and 3 hours on muffins and $ 15 and 3 hours on bagels. In total, $ 45 and 6 hours will be spent, with which this option is within the predetermined parameters, that is, the expense is less than $ 60 and the time is less than 8 hours.