Question

1. what is a number that when you multiply it by 3 and subtract 5 from the product, you get 28?

Explanation:

Step1: Define the variable

Let the number be \( x \).

Step2: Translate the problem into an equation

Multiplying the number by 3 gives \( 3x \), and subtracting 5 from the product gives \( 3x - 5 \). We know this equals 28, so the equation is \( 3x - 5 = 28 \).

Step3: Solve for \( x \)

First, add 5 to both sides of the equation: \( 3x - 5 + 5 = 28 + 5 \), which simplifies to \( 3x = 33 \). Then, divide both sides by 3: \( \frac{3x}{3} = \frac{33}{3} \), so \( x = 11 \).

Answer:

The number is 11.