Chapter 8.3, Problem 1GP

To determine

Translate into an equation

Answer to Problem 1GP

The equation is $\frac{x}{3}-8=16$

Explanation of Solution

Given:

The quotient of a number and 3, less 8, is 16

Concept Used:

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

In order to translate the sentence into an equation

Let x be the number start with the quotient and a number so that the division with the denominator as 3 and then subtracted by 8 which is equal to 16 as shown below,

  $\frac{x}{3}-8=16$

Thus, the equation is $\frac{x}{3}-8=16$