Q:

A group of hikers buys 8 bags of mixed nuts . Each bag contains 3 1/2 cups of mixed nuts ! The mixed nuts are shared evenly among 12 hikers . How many cups of mixed nuts will EACH hiker receive ?

Accepted Solution

A:
Answer: [tex]2\dfrac{1}{3}\ cups[/tex]Step-by-step explanation:Given: The number of bags of mixed nuts = 8Nuts in each bag =[tex]3\dfrac{1}{2}=\dfrac{7}{2}\ cups[/tex]Therefore, the total amount of mixed nuts in 8 bags =[tex]8\times\dfrac{7}{2}=28\ cups[/tex]Since the mixed nuts are shared evenly among 12 hikers . Therefore, the number of cups of mixed nuts will each hiker receive=[tex]\dfrac{28}{12}=\dfrac{7}{3}=2\dfrac{1}{3}\ cups[/tex]Hence, the number of cups of mixed nuts will each hiker receive=[tex]2\dfrac{1}{3}\ cups[/tex]