Middle School

Which expression is equivalent to [tex]30\left(\frac{1}{2}x - 2\right) + 40\left(\frac{3}{4}y - 4\right)[/tex]?

A. [tex]45xy - 220[/tex]
B. [tex]15x - 30y - 220[/tex]
C. [tex]15x + 30y - 220[/tex]
D. [tex]15x + 30y - 64[/tex]

Answer :

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[tex]30( \frac{1}{2} x - 2) + 40( \frac{3}{4} y - 4) = \\ [/tex]

[tex](30 \times \frac{1}{2} x) -( 30 \times 2 )+ (40 \times \frac{3}{4} y )- (40 \times 4 )= \\ [/tex]

[tex]15x - 60 + 30y - 160 = \\ [/tex]

[tex]15x + 30y - 220[/tex]

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The correct answer is Option Three .

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