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A baker sells 80% of his biscuits and is left with 80 biscuits. How many biscuits did he begin with?Choose 1 answer:600660560400

Question

A baker sells 80% of his biscuits and is left with 80 biscuits. How many biscuits did he begin with?

Choose 1 answer:

  • 600
  • 660
  • 560
  • 400
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Solution

1. Break Down the Problem

Let x x be the total number of biscuits the baker started with. According to the problem, the baker sells 80% of his biscuits, which leaves him with 20% of them. We know that 20% of the total equals 80 biscuits.

2. Relevant Concepts

To find how many biscuits he started with, we need to set up the equation based on the relationship: 0.2x=80 0.2x = 80

3. Analysis and Detail

Now, we can solve for x x : x=800.2 x = \frac{80}{0.2} Calculating the right side: x=80÷0.2=80×5=400 x = 80 \div 0.2 = 80 \times 5 = 400

4. Verify and Summarize

To verify, we can check whether 80% of 400 equals 320, and thus the remaining biscuits should be: 400320=80 400 - 320 = 80 The calculation holds true.

Final Answer

The baker began with 400 biscuits.

This problem has been solved

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