Question

What is the proportions for this problem?


A. 15/15 = 10/x


B. 15/10 = 10/x


C. 10/15 = 10/x

Answer 1

To determine which proportion is correct, we need to understand the relationships among the quantities involved. In general, a proportion is a statement that two ratios are equal.

Let's break down each option:

**A.** \( \frac{15}{15} = \frac{10}{x} \)

This simplifies to \( 1 = \frac{10}{x} \). To find \( x \), you cross-multiply:
1 = \( 10/x \) implies \( x = 10 \).

**B.** \( \frac{15}{10} = \frac{10}{x} \)

This simplifies to \( \frac{3}{2} = \frac{10}{x} \). Cross-multiplying gives 3x = 20, hence \( x = \frac{20}{3} \) or approximately 6.67.

**C.** \( \frac{10}{15} = \frac{10}{x} \)

This simplifies to \( \frac{2}{3} = \frac{10}{x} \). Cross-multiplying gives 2x = 30, hence \( x = 15 \).

Now let's summarize the values for \( x \) in each case:
- **A:** \( x = 10 \)
- **B:** \( x = \frac{20}{3} \)
- **C:** \( x = 15 \)

If you want to find out which proportion relates to a specific context or if you have a particular interpretation in mind, please provide more details. Otherwise, all three setups are valid proportions, but they yield different values for \( x \).