Adam S. answered • 08/31/16

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The problem can be expressed as two equations in two unknowns.

X = first trail mix in pounds

Y = second trail mix in pounds

1)The 38% trail mix is mixed with the 62% trail mix to produce a 50% trail mix of 144 lbs.

2)The weight of the two trail mixes adds to 144 lbs.

1) 0.38X + 0.62Y = 0.50(144)

2) X + Y = 144

multiply equation 2 by 0.62, then subtract equation 2 from equation 1.

1) 0.38X + 0.62Y = 0.50(144)

2)- 0.62(X + Y) = -0.62(144)

0.38X - 0.62X = 0.50(144) - 0.62(144)

-0.24X = -0.12(144)

X = 0.12(144)/0.24 = 72 lbs.