Question

nadia is making hot sauce. she puts in chile peppers and tomatoes in a ratio of 1 to 3. if she puts in 9 tomatoes, how many chile peppers should she put in? choose one option a 3 b 27 c 9 d 12

Explanation:

Step1: Define the ratio

The ratio of chile peppers to tomatoes is \(1:3\), which means for every 1 chile pepper, there are 3 tomatoes. Let the number of chile peppers be \(x\) and tomatoes be \(y\), so \(\frac{x}{y}=\frac{1}{3}\).

Step2: Substitute the number of tomatoes

We know \(y = 9\) (number of tomatoes). Substitute \(y = 9\) into the ratio equation \(\frac{x}{9}=\frac{1}{3}\).

Step3: Solve for \(x\)

Cross - multiply: \(3x=9\times1\), then \(x = \frac{9}{3}=3\).

Answer:

A. 3