Milton makes a trail mix for his hiking group. He mixes 1 1/4 pound of peanuts, 14 ounces of raisins, 12 ounces of walnuts, and 10 ounces of chocolate chips. If Milton divides the trail mix equally among the 8 hikers in the group, how many ounces of trail mix does each hiker receive?

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Answer:

7 ounces of trail mix each hiker receive.

Step-by-step explanation:

Given:

Milton makes a trail mix for his hiking group. He mixes 1 1/4 pound of peanuts, 14 ounces of raisins, 12 ounces of walnuts, and 10 ounces of chocolate chips.

If Milton divides the trail mix equally among the 8 hikers in the group.

Now, to find the ounces of trail mix each hiker receive.

Pound of peanuts = [tex]1\frac{1}{4}.[/tex]

Now, using conversion factor convert pound into ounces:

1 pounds = 16 ounces.

[tex]\frac{5}{4}[/tex]  pounds = [tex]\frac{5}{4} \times 16[/tex] = [tex]20\ ounces.[/tex]

Ounces of peanuts = 20.

Ounces of raisins = 14.

Ounces of walnuts = 12.

Ounces of chocolate chips = 10.

Now, we add all the ounces of peanuts, raisins, walnuts and chocolate chips to get the trail mix:

[tex]20+14+12+10\\\\=56\ ounces.[/tex]

Total ounces of trail mix = 56.

Total number of hikers = 8.

As given, Milton divides the trail mix equally among the 8 hikers.

So, to get the trail mix each hiker receive we divide total number of hikers by total ounces of trail mix:

[tex]56\div 8[/tex]

[tex]=7\ ounces.[/tex]

Therefore, 7 ounces of trail mix each hiker receive.

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