Five is the quotient of 120 divided by some number.

Five is the quotient of 120 divided by some number. What is the number? 20 24 115 125

The Correct Answer and Explanation is:

Correct Answer: 24

📘 Explanation:

We are given a word problem:

“Five is the quotient of 120 divided by some number.”

This can be translated into a mathematical equation. Let’s represent the unknown number with a variable, such as xxx. According to the problem, when 120 is divided by xxx, the quotient (result) is 5.

So we write:120x=5\frac{120}{x} = 5×120=5

Now, we solve this equation step by step to find the value of xxx.

🧮 Step 1: Multiply both sides by xxx

To eliminate the denominator, multiply both sides of the equation by xxx:120=5×120 = 5×120=5x

🧮 Step 2: Solve for xxx

Now, divide both sides of the equation by 5:x=1205x = \frac{120}{5}x=5120x=24x = 24x=24

✅ Final Answer: 24

🔍 Why the Other Options Are Incorrect:

20: 12020=6≠5\frac{120}{20} = 6 \ne 520120=6=5
115: 120115≈1.04≠5\frac{120}{115} \approx 1.04 \ne 5115120≈1.04=5
125: 120125=0.96≠5\frac{120}{125} = 0.96 \ne 5125120=0.96=5

📚 Understanding the Concept:

This problem is about understanding the meaning of quotient, which is the result of division. When you are told, “Five is the quotient of 120 divided by some number,” it means you must find a number that, when used to divide 120, gives exactly 5 as the answer.

In algebra, such problems are common and teach you how to form and solve simple equations. The key is to convert the word problem into an equation, then solve for the unknown.

🟦 Summary:

Equation: 120x=5\frac{120}{x} = 5×120=5
Solved: x=24x = 24x=24
✅ Correct Choice: 24

This reinforces your understanding of division and how to set up and solve equations from word problems.