Which expression is equivalent to 30 times open paren 1 half x minus 2 close paren plus 40 times open paren 3 fourths y minus 4 close paren ?
Answer
A
15 x minus 30 y minus 220
B
15 x plus 30 y minus 220
C
45 x y minus 220
D
15 x plus 30 y minus 64
Explanation
Distribute 30 and 40 across their parentheses: 30(½x − 2) = 15x − 60, and 40(¾y − 4) = 30y − 160. Add the results to get 15x + 30y − 220, which matches choice B.
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