If Y is to 14 as 30 is to 10, what is the value of Y?

• A. 28
• B. 30
• C. 42
• D. 36

Answer: (C)

To solve the problem, the relationship established by the proportions needs to be analyzed. The phrase "If Y is to 14 as 30 is to 10" can be interpreted as creating a ratio or fraction that equates two comparisons. In mathematical terms, this can be expressed as:

Y / 14 = 30 / 10

To find the value of Y, you can set up the equation:

Y = 14 * (30 / 10)

Calculating 30 / 10 gives 3. Substituting that back into the equation:

Y = 14 * 3

Y = 42

This shows that the value of Y is indeed 42, which aligns with the interpretation of the proportions correctly. The other answer choices do not satisfy the ratio derived from the original statement. Thus, the context of the problem and the mathematical relationships confirm that the solution of 42 is correct and provides a solid understanding of the equality of ratios.