Question

2 a bag of tiles has 3 vowels for every 8 consonants. if you have 9 vowels, how many consonants do you have?

Explanation:

Step1: Set up the proportion

Let \( x \) be the number of consonants. The ratio of vowels to consonants is constant, so we have the proportion \(\frac{3}{8}=\frac{9}{x}\).

Step2: Cross - multiply to solve for \( x \)

Cross - multiplying gives us \( 3x = 8\times9 \).
First, calculate \( 8\times9=72 \), so the equation becomes \( 3x = 72 \).

Step3: Divide both sides by 3

Divide both sides of the equation \( 3x = 72 \) by 3: \( x=\frac{72}{3}=24 \).

Answer:

24