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Anuta_ua [19.1K]
3 years ago
15

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?
Mathematics
1 answer:
Veronika [31]3 years ago
8 0

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 = 1\frac{1}{4}.

Now, using conversion factor convert pound into ounces:

1 pounds = 16 ounces.

\frac{5}{4}  pounds = \frac{5}{4} \times 16 = 20\ ounces.

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:

20+14+12+10\\\\=56\ ounces.

<u><em>Total ounces of trail mix = 56.</em></u>

<u><em>Total number of hikers = 8.</em></u>

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:

56\div 8

=7\ ounces.

Therefore, 7 ounces of trail mix each hiker receive.

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Xy = -14
x + y = -3

xy = -14
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y = \frac{-14}{x}

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x = \frac{-(3) \± \sqrt{(3)^{2} - 4(1)(-14)}}{2(1)}
x = \frac{-3 \± \sqrt{9 + 56}}{2}
x = \frac{-3 \± \sqrt{65}}{2}
x = \frac{-3 \± 8.06}{2}
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        (x, y) = (-5.53, 2.53)

The two numbers that multiply to -14 and add up to -3 are -5.53 and 2.53.
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