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julia-pushkina [17]
3 years ago
12

Solve the system of equations 3x – 2y + 4z = -14 -4x + y + 4z = -16 -3x - y - 4z = 2

Mathematics
1 answer:
Naddika [18.5K]3 years ago
8 0

Answer:

x,y,x = 2,4, -3

Step-by-step explanation:

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A candy store owner wants to mix some candy costing $1.25 a pound
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The candy store owner should use 37.5 pounds of the candy costing $1.25 a pound.

Given:

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To find: The amount of candy costing $1.25 a pound that should be mixed

Let us assume that the resulting mixture should be made by mixing 'x' pounds of candy costing $1.25 a pound.

Since the total weight of the resulting mixture should be 50 pounds, 'x' pounds of candy costing $1.25 a pound should be mixed with '50-x' pounds of candy costing $1.45 a pound.

Then, the resulting mixture contains 'x' pounds of candy costing $1.25 a pound and '50-x' pounds of candy costing $1.45 a pound.

Accordingly, the total cost of the resulting mixture is 1.25x+1.45(50-x)

However, the resulting mixture should be 50 pounds and should cost $1.30 a pound. Accordingly, the total cost of the resulting mixture is 1.30 \times 50

Equating the total cost of the resulting mixture obtained in two ways, we get,

1.25x+1.45(50-x)=1.30 \times 50

1.25x+72.5-1.45x=65

0.2x=7.5

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This implies that the resulting mixture should be made by mixing 37.5 pounds of candy costing $1.25 a pound.

Learn more about cost of mixtures here:

brainly.com/question/17109505

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