A trail mix consist of 7 3/4 oz of sunflower seeds, 9 1/4 oz of raisins, 4 1/4 oz of walnuts, and 7 1/2 oz of soybeans. If the mix is split equally between eight hikers, how much would each one get?

Each biker gets 3 19/32 of the mix.

Step-by-step explanation:

In the questions, we are told that a trail mix consist

7 3/4 oz of sunflower seeds,

9 1/4 oz of raisins

4 1/4 oz of walnuts

7 1/2 oz of soybeans

Step 1

Add up every element in the trail mix

We have are given mixed numbers which is made up of whole number and a proper fraction

7 3/4 oz + 9 1/4 oz + 4 1/4 oz + 7 1/2 oz

So we add up the whole numbers first

27 + (3/4 oz + 1/4 oz + 1/4 oz + 1/2 oz)

Next, We find the lowest common multiple of the denominators of the proper fractions which is 4

= 27 + ((3*1) + (1*1) + (1*1) + (1*2) / 4)

27 + (3+1+1+2) / 4

27 + 7/4

27 + 1 3/4

27 + 1 + 3/4

Total mix = 28 3/4

Step 2

If the mix is split equally between eight hikers, how much would each one get?

We would convert 28 3/4 into an improper fraction and divide it by 8 bikers

115/4 : 8

115 / 4 * 1/8

= 115/32

Turning it into a mixed fraction, we have:

3 19/32

Therefore, each biker gets 3 19/32 of the mix.