Question

ren has a bag of trail mix made of 54 total pieces of nut or dried fruit where there are 11 nuts for every 7 fruits. how many total nuts are in the bag of trail mix?

Explanation:

Step1: Find the total parts in the ratio

The ratio of nuts to fruits is \(11:7\). So the total number of parts is \(11 + 7=18\) parts.

Step2: Find the value of one part

The total number of pieces is 54, and there are 18 parts. So the value of one part is \(\frac{54}{18} = 3\).

Step3: Calculate the number of nuts

Since the number of nut parts is 11, and each part is 3, the number of nuts is \(11\times3 = 33\).

Answer:

33