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Mario has LaTeX: 2\frac{1}{4}2 1 4 pounds of trail mix. He puts equal amounts of the trail mix into 6 bags for a hike with his friends. If he uses all of the trail mix, how many pounds will be in each bag?

Respuesta :

abidemiokin

Answer:

0.375 pounds

Step-by-step explanation:

Let the amount of trail mix in each bag be x pounds. If Mario has [tex]2\frac{1}{4}[/tex] pounds of trail mix and puts equal amounts of the trail mix into 6 bags for a hike with his friends, the amount of trail mix in each bag can be derives using the expression;

[tex]2\frac{1}{4} = 6 * x[/tex]

solving for x

[tex]\dfrac{9}{4} = 6x\\\\2.25 = 6x\\\\divide\ both \ sides \ by \ 6\\\\\dfrac{2.25}{6} = \dfrac{6x}{6} \\\\x = 0.375\\[/tex]

Hence 0.375 pounds of trail mix will be in each bag

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