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

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!

Answer 2

Yes, one box of parties is enough for everyone.

Explanation:

Given,

Cereal contained by one box = 12 cups,

Also, each young child needs cereal =
`(1)/(3)` cup,

So, the cups needed for 11 younger child =
`(11)/(3)` cups

Also, each older child needs cereal =
`(3)/(4)` cup,

So, the cups needed for 10 older children =
`(30)/(4)` cups,

Thus, the total cups needed =
`(11)/(3)+(30)/(4)`

`=(44+90)/(12)`

`=(134)/(12)`

`=11(1)/(6)`

`\because 11(1)/(6) < 12`

Hence, one box of parties is enough for everyone.