Question the-ra

3.1 Ratios, Rates, and Proportional Relationships - Direct/inverse proportionality
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The ratio 140 to m is equivalent to the ratio 4 to 28 . What is the value of m ?

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The ratio 140 to m is equivalent to the ratio 4 to 28 . What is

Hard-difficulty · SAT Math · Ratios, Rates, and Proportional Relationships — Direct/inverse proportionality. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is 980 . It's given that the ratio 140 to m is equivalent to the ratio 4 to 28 . Therefore, the value of m can be found by solving the equation 140m=428. Multiplying each side of this equation by m yields 140=4m28. Multiplying each side of this equation by 28 yields 3,920 = 4 m . Dividing each side of this equation by 4 yields 980 = m . Therefore, the value of m is 980 .