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Tpy6a [65]
4 years ago
13

Solve the rational equation quantity 2 times x plus 6 end quantity divided by 3 equals quantity 5 times x minus 1 divided by 7.

Mathematics
1 answer:
fomenos4 years ago
5 0

Answer:

x = 45

Step-by-step explanation:

(2x + 6)/3 = (5x - 1)/7

<em>Cross multiply</em>

7(2x + 6) = 3(5x - 1)

<em>Expand both expressions</em>

14x + 42 = 15x - 3

<em>Collect like terms</em>

42 + 3 = 15x - 14x

45 = x

x= 45

<em>Check:</em>

7(2*45 + 6) = 3(5*45 - 1)

7(90 + 6) = 3(225 - 1)

7 * 96 = 3 * 224

672 = 672

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Answer

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Standard price = $ 7.50

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Price Variance = Actual Quantity x (Actual Rate - Standard Rate)

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Quantity Variance = Standard Rate x (Actual Quantity - Standard Quantity)

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