Defective Sports Shoes Calculation

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Questions and Answers

If a company produces 4000 pairs of shoes and 70% are made in workshop A, how many pairs are made in workshop A?

  • 1600
  • 1200
  • 3000
  • 2800 (correct)

If workshop A produces 2800 pairs of shoes and 5% are defective, how many defective pairs are from workshop A?

  • 100
  • 112
  • 120
  • 140 (correct)

If workshop B produces 1200 pairs of shoes and 4% are defective, how many defective pairs are from workshop B?

  • 48 (correct)
  • 36
  • 50
  • 60

What percentage of the total shoe production occurs in workshop A?

<p>70% (D)</p> Signup and view all the answers

If 30% of shoes are made in workshop B, and the total production is 4000 pairs, how many are made in workshop B?

<p>1200 (C)</p> Signup and view all the answers

If workshop A makes 70% of the shoes, what percentage does workshop B make?

<p>30% (A)</p> Signup and view all the answers

What is the combined number of defective shoes from both workshop A and workshop B, given the details in the problem?

<p>188 (C)</p> Signup and view all the answers

What does the problem ask you to determine?

<p>The total number of defective shoes (B)</p> Signup and view all the answers

How many total pairs of shoes are considered in the production?

<p>4000 (A)</p> Signup and view all the answers

If workshop B makes 1200 pairs of shoes, and workshop A makes the rest of the 4000 total, how many does workshop A make?

<p>2800 (D)</p> Signup and view all the answers

A company has two workshops that produce sports shoes. What are the names of these workshops?

<p>A and B (A)</p> Signup and view all the answers

What percentage of shoes produced in workshop B are defective?

<p>4% (B)</p> Signup and view all the answers

What is the first step to solving this problem?

<p>Calculate the total defective shoes from Workshop A. (D)</p> Signup and view all the answers

If the defective shoes from Workshop A are 140 and Workshop B are 48, what is the next step to determine the total number of defective shoes?

<p>Add the values. (A)</p> Signup and view all the answers

Given that workshop A produces 70% of the shoes, which expression calculates the shoes produced in Workshop A?

<p>$0.70 \times 4000$ (B)</p> Signup and view all the answers

Which of the following calculations would determine the number of defective shoes produced in Workshop B?

<p>$0.04 \times 1200$ (A)</p> Signup and view all the answers

What arithmetic operation must be performed to combine the defective shoes from Workshop A and Workshop B to find the total?

<p>Addition (B)</p> Signup and view all the answers

How would you calculate the number of non-defective shoes that were produced in workshop A?

<p>Calculate $0.95 \times 2800$ (D)</p> Signup and view all the answers

How many more shoes were produced in Workshop A vs. Workshop B?

<p>1600 (C)</p> Signup and view all the answers

Flashcards

Pairs produced by Workshop A?

Workshop A produces 70% of the 4000 pairs of shoes.

Pairs produced by Workshop B?

Workshop B produces 30% of the 4000 pairs of shoes.

% of defective shoes from A?

5% of the shoes from workshop A are defective

How to find total defective pairs?

Number of defective pairs = (Pairs from A * 0.05) + (Pairs from B * 0.04)

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Defective Pairs from Workshop A

Workshop A produces 2800 pairs, and 5% are defective, so 0.05 * 2800 = 140 defective pairs

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Defective Pairs from Workshop B

Workshop B produces 1200 pairs, and 4% are defective, so 0.04 * 1200 = 48 defective pairs

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Total defective pairs calculation?

140 (from A) + 48 (from B) = 188 defective pairs in total.

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Study Notes

  • A company has two workshops, A and B, where sports shoes are manufactured.
  • The total production is 4000 pairs of shoes.
  • 70% of the pairs of shoes are manufactured in workshop A, and the rest in workshop B.
  • 5% of the pairs of shoes manufactured in workshop A are defective.
  • 4% of the pairs of shoes manufactured in workshop B are defective.
  • The question asks to determine the total number of defective pairs of shoes.

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