Question

Diane serves breakfast to two groups of children at a daycare center . One box of Oates contain 12 cups of cereal . She needs 1/3 cup for each younger child and 3/4 cup for each older child . Today group includes 11 younger children and 10 older children . Is one box of parties enough for everyone?

Answer 1

Answer:

Yes, one box of parties is enough for everyone.

Step-by-step explanation:

Given,

Cereal contained by one box = 12 cups,

Also, each young child needs cereal = $\frac{1}{3}$ cup,

So, the cups needed for 11 younger child = $\frac{11}{3}$ cups

Also, each older child needs cereal = $\frac{3}{4}$ cup,

So, the cups needed for 10 older children = $\frac{30}{4}$ cups,

Thus, the total cups needed = $\frac{11}{3}+\frac{30}{4}$

$=\frac{44+90}{12}$

$=\frac{134}{12}$

$=11\frac{1}{6}$

$\because 11\frac{1}{6} < 12$

Hence, one box of parties is enough for everyone.

Answer 2

We have 11 younger children, and we need 1/3 cups for each. So we need 11/3 cups for the younger children. We have 10 older children, and we need 3/4 cups for each. So we need 30/4 cups for the older children. 30/4+11/3 is the total number. But now we have to find a common denominator. Our common denominator in this instance is 12, so we just apply that. 90/12+44/12. 90+44=134/12=11.166667. So the answer is yes, one box is enough. Hope this helps!