SOLUTION: A box of cereal contains 18 3/4 cups of cereal. At most, how many persons can you serve from this box of cereal if each serving must be at least 3/4 cup? A.14 B.18 C.19 D.2

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Question 324929: A box of cereal contains 18 3/4 cups of cereal. At most, how many persons can you serve from this box of cereal if each serving must be at least 3/4 cup?
A.14
B.18
C.19
D.24
E.25

Answer by jessica43(140) (Show Source):
You can put this solution on YOUR website!
To solve this problem, you need to write an equation using what you know. You know that the total amount of cereal is 18 3/4 cups. You can rewrite this as a fraction:
18 + 3/4
=72/4 + 3/4
=75/4
You also know that a serving feeds one person and each serving has to be at least 3/4 cup. So our equation will be:
(amount of cereal per serving)*(number of people) = (total amount of cereal)
(3/4)*x = (75/4) (where x= number of people you can serve from this box of cereal)
Now we can solve for x by dividing each side by (3/4):
(3/4)x = (75/4)
x = 25
This means that the most people this box of cereal could feed is 25, or answer E.