Question

Can I please have help? A group of hikers buy 8 bags of trail mix. Each bag of Trail Mix contains 3 1/2 cups of Trail Mix. The trail mix is shared evenly among 12 hikers. How many cups of Trail Mix will each hiker receive? Each hiker will recieve _____ cups of trail mix.

Answer 1

29/6 (or
`4(5)/(6)` cups)

Explanation:

How much each hiker will receive can be represented by x:

8*
`3(1)/(2)`=12x

lets change 3 1/2 into an improper fraction

`3(1)/(2)`=(3*2)/2+1/2=6/2+1/2=7/2

8*
`(7)/(2)`=12x

(8/1)*(7/2)=12x

56/2=12x

28=12x

12x=58

x=58/12

x=(29*2)/(6*2)

x=29/6

if written as an improper fraction, it is
`4(5)/(6)`

thus, each hiker receives an equal share of 29/6 or
`4(5)/(6)` cups of trail mix

Answer 2

8*3 1/2=28
28/12=2 1/3