Question

Translate the following sentence into an equation:

“Three times b less than 100 is equal to the product of 6 and b”.

Short answer

The equation is $100-3b=6b$.

Step-by-step solution

Step 1. Given information.

The given sentence is:

Three times b less than 100 is equal to the product of 6 and b.

Step 2. Break the sentence.

The expression for three times b is 3b. So, the expression for three times b less than 100 is $100-3b$.

The expression for the product of 6 and b is $6\times b$.

Step 3. Write the equation.

The equation for the given sentence becomes:

$$\begin{gathered} 100-3b=6\times b \\ 100-3b=6b \end{gathered}$$