My Learning Cart
?
Categories
Account

A company produces pens and pencils. If the total production is 500 items and th

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: A company produces pens and pencils. If the total production is 500 items and the number of pens is 4 times the number of pencils, how many pens are produced?

Options:

  1. 400
  2. 100
  3. 200
  4. 300

Correct Answer: 400

Solution: 

Let the number of pencils be x. Then the number of pens is 4x. The equation is x + 4x = 500. Solving gives 5x = 500, so x = 100. Therefore, pens = 4x = 400.

A company produces pens and pencils. If the total production is 500 items and th

Practice Questions

Q1
A company produces pens and pencils. If the total production is 500 items and the number of pens is 4 times the number of pencils, how many pens are produced?
  1. 400
  2. 100
  3. 200
  4. 300

Questions & Step-by-Step Solutions

A company produces pens and pencils. If the total production is 500 items and the number of pens is 4 times the number of pencils, how many pens are produced?
  • Step 1: Let the number of pencils be represented by the variable x.
  • Step 2: Since the number of pens is 4 times the number of pencils, we can represent the number of pens as 4x.
  • Step 3: The total production of pens and pencils is given as 500 items. We can write the equation: x (pencils) + 4x (pens) = 500.
  • Step 4: Combine the terms in the equation: x + 4x = 5x. So, we have 5x = 500.
  • Step 5: To find the value of x, divide both sides of the equation by 5: x = 500 / 5.
  • Step 6: Calculate the value: x = 100. This means there are 100 pencils produced.
  • Step 7: Now, to find the number of pens, use the equation for pens: pens = 4x = 4 * 100.
  • Step 8: Calculate the number of pens: pens = 400.
  • Algebraic Equations – The question tests the ability to set up and solve a linear equation based on a word problem.
  • Proportions – Understanding the relationship between the number of pens and pencils, specifically that the number of pens is four times the number of pencils.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks