Question

using a table, compare the number of black to white circles. if the ratio remains the same, how many black circles will there be if there are 56 white circles? a. 70 b. 61 c. 42 d. 84

Explanation:

Step1: Find the initial ratio

There are 5 black circles and 4 white circles. The ratio of black to white is $\frac{5}{4}$.

Step2: Set up a proportion

Let $x$ be the number of black circles when there are 56 white circles. The proportion is $\frac{5}{4}=\frac{x}{56}$.

Step3: Solve the proportion

Cross - multiply: $4x = 5\times56$. Then $4x=280$. Divide both sides by 4: $x=\frac{280}{4}=70$.

Answer:

A. 70