Question

The local deli charges a fee for delivery. On monday, they delivered two dozen bagels to an office at a local cost of $8. On Tuesday, three dozen bagels were delivered at a total cost of $11. Write a system of equations that could be used to find the cost of a dozen bagels, b, if the delivery fee is f? Use your system to determine the cost of the bagels, b, and fee, f.

Answer 1

I just took the test. This is correct!

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Answer 2

• 2b+f=8; 3b+f=11
• b=3, f=2

Explanation:

The problem statement defines the variables and gives the relations ...

2b + f = 8 . . . . total cost on Monday

3b + f = 11 . . . . total cost on Tuesday

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Subtracting the first equation from the second, we get ...

(3b +f) -(2b +f) = 11 -8

b = 3 . . . . . simplify

Substituting this into the first equation, we can solve for f

2·3 +f = 8

f = 2 . . . . . . . subtract 6

Bagels cost $3 per dozen; the delivery fee is $2.