Answer:
Each biker gets 3 19/32 of the mix.
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.