Question

I have fewer than 10 bottles of juice. some bottles are apple juice and others are cranberry juice. the apple juice bottles hold 32 ounces each while the cranberry juice bottles hold 24 ounces each. altogether I have over 200 ounces of juice. write a system of inequalities to represent the situation

Answer 1

Equations:

32x + 24y = 200

x + y = 10

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Solve: (Method used is elimination)

32x + 24y = 200

32x + 32y = 320

Subtract.

-8y = -120

y = 15

Plug it back in

x + 15 = 10

x = -5