Question

using a table, compare the number of yellow triangles to white triangles. if the ratio remains the same, how many yellow triangles will there be if there are 154 white triangles? a. 22 b. 63 c. 110 d. 88

Explanation:

Step1: Find the ratio of yellow to white triangles

Count the number of yellow triangles (\(5\)) and white triangles (\(7\)). The ratio of yellow to white triangles is \(\frac{5}{7}\).

Step2: Set up a proportion

Let \(y\) be the number of yellow triangles when there are \(154\) white triangles. The proportion is \(\frac{y}{154}=\frac{5}{7}\).

Step3: Solve the proportion for \(y\)

Cross - multiply: \(7y = 5\times154\). Then \(7y=770\). Divide both sides by \(7\): \(y=\frac{770}{7}=110\).

Answer:

C. 110