Transcript A box of cereal contains 18 cups of cereal. At most, how many persons can you serve from this box of cereal.

A box of cereal contains 18
3
cups of cereal. At most, how many persons can
4
you serve from this box of cereal if each seving must be at least
3
4
A. 14
B. 18
C. 19
D. 24
E. 25
cup?
The correct answer is E.
Explanation:
18
3
18
4 is the size of the serving, so
If x is the number of people, then
x
if each serving is at least
3
3
4  3
x
4
cup.
4
So (18
3
) 4  3 x, 75  3 x, 25  x, so x  25, and any number of people 25
4
or fewer can be served with a serving size of at least
3
cup.
4
If x  25 ,
3
x
4
3
4
( 25 ),
3
4
x  18
3
.
4
So for more than 25 people to be served the minimum
amout of
3
cup,
4
the box would
have to hold more than 18
3
cups. Therefore, the maximum
4
number of people who could be served at least
3
4
cup is 25.