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.

Respuesta :

Total amount of trail mix which is poured into the bags = [tex]2\frac{1}{4}[/tex] pounds

= [tex]\frac{9}{4}[/tex] pounds

Total amount of trail mix in each bag = [tex]\frac{3}{8}[/tex] pound

Number of bags with  [tex]\frac{3}{8}[/tex] pound, which can be poured from [tex]2\frac{1}{4}[/tex] pounds of trail mix

= Total amount of trail mix [tex]\div[/tex] Amount of trail mix in each bag

= [tex]\frac{9}{4} \div \frac{3}{8}[/tex]

= [tex]\frac{9}{4} \times \frac{8}{3}[/tex]

= 6 bags

Number of bags taken on a hiking trip = [tex]\frac{2}{3}[/tex] of bags

= [tex]\frac{2}{3} \times 6[/tex]

= 4 bags

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

Therefore, 2 bags are left.