3000=30x+36y. Solve for x and y.
1 answer:
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Answer:
The quantity of coffee costing $4 a pound in the coffee mixture is 2 pounds.
Step-by-step explanation:
Given: Coffee costing $4 a pound is mixed with 3 pounds of coffee costing 4.50 a pound to obtain a mixture costing $4.30 a pound.
We have to find the quantity of coffee costing $4 a pound in the mixture.
Let x represent the number of pounds of $4 coffee.
Cost of one pound = 4x.
Cost of 3 pounds of coffee costing 4.50 a pound = 3(4.50)
Cost of mixture costing $4.30 a pound = (x+3)(4.30)
According to given problem,
Solving for x, we get,
Rearranging like term together, we get,
Thus, the quantity of coffee costing $4 a pound in the coffee mixture is 2 pounds.
Answer: The expression given simplifies to: 3 .
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Explanation:
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Given: (3x - 6) / (x-2) ;
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Factor the numerator into: 3(x-2).
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Now, rewrite the expression as:
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;
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The "(x - 2)" values cancel to "1" ; since "(x - 2) ÷ (x - 2) = 1" ;
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and we are left with: "3 ".
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_________________________________________________
Explanation:
________________________________________________
Given: (3x - 6) / (x-2) ;
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Factor the numerator into: 3(x-2).
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Now, rewrite the expression as:
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The "(x - 2)" values cancel to "1" ; since "(x - 2) ÷ (x - 2) = 1" ;
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and we are left with: "3 ".
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