Question

The quotient of a number and 4 decreased by 8 is 5. What is the number?

Answer 1

Answer: 52

Explanation:

Let's solve this equation step by step. The quotient of a number and 4 decreased by 8 is 5.

Step 1: Let's represent the unknown number as "x".

Step 2: The quotient of a number and 4 can be written as x/4.

Step 3: Decreased by 8 means subtracting 8 from the quotient, so we have (x/4) - 8.

Step 4: According to the equation, (x/4) - 8 = 5.

Step 5: Now, let's solve for x. Add 8 to both sides of the equation to isolate the x term.

(x/4) - 8 + 8 = 5 + 8

(x/4) = 13

Step 6: Multiply both sides of the equation by 4 to get rid of the fraction.

4 * (x/4) = 4 * 13

x = 52

Therefore, the number is 52.

Answer 2

Answer: 52

Explanation:

First, we will write a mathematical equation to represent this situation. Let n be "a number." The quotient is division and decreased is subtraction.

`\displaystyle (n)/(4) -8=5`

Add 8 to both sides of the equation:

`\displaystyle (n)/(4)=13`

Multiply both sides of the equation by 4:

`\displaystyle n=52`