Question

Students put 2 1/4 pounds of trail mix into bags that each weigh 3/8 pound. They bring 2/3 of the bags of trail mix on a hiking trip. Can you determine how many bags of a trail mix are left by completing just on step? Explain.

Answer 1

Total amount of trail mix which is poured into the bags =
`2(1)/(4)` pounds

=
`(9)/(4)` pounds

Total amount of trail mix in each bag =
`(3)/(8)` pound

Number of bags with
`(3)/(8)` pound, which can be poured from
`2(1)/(4)` pounds of trail mix

= Total amount of trail mix
`/` Amount of trail mix in each bag

=
`(9)/(4) / (3)/(8)`

=
`(9)/(4) * (8)/(3)`

= 6 bags

Number of bags taken on a hiking trip =
`(2)/(3)` of bags

=
`(2)/(3) * 6`

= 4 bags

Now, number of bags of trail mix which are left = 6-4 = 2 bags.

Therefore, 2 bags are left.