Question

Zoey made 6 1/2 cups of trail mix for a camping trip. She wants to divide the trail mix into 3/4 cup of servings. Twelve people are going on the camping trip. Can zoey make enough 3/4 cup servings so that each person on the trip has on serving?

Answer 1

No

Explanation:

Given that:

Total number of cups of trail mix available for camping trip =
`6(1)/(2)`

Amount of one serving contains =
`(3)/(4)` cups

Number of people at the trip = 12

To find:

Whether each person will be able to get the servings?

Solution:

Here, we can find the total number of servings by dividing the total number of cups of trail mix with the amount of one serving.

First of all, let us convert the mixed fraction into fractional number.

`6(1)/(2) = (6* 2+1)/(2) = (13)/(2)`

Therefore, total number of servings available as per the given quantities:

`\frac{\frac{13}2}{\frac{3}4}\\\Rightarrow (13* 4)/(2* 3) \\\Rightarrow (26)/(3)\\\Rightarrow \approx 8`

So, With this type of servings Zoey will be able to serve only 8 people.

Therefore, there is not enough servings.