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Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 50 cards, which was 5% of the cards sold for Mother's Day. How many cards were sold for Mother's Day? Answer:

Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 5050 cards, which was 5% 5 \% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?\newlineAnswer:

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Full solution

Q. Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 5050 cards, which was 5% 5 \% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?\newlineAnswer:
  1. Understand the problem: Understand the problem.\newlineWe know that 5050 cards represent 5%5\% of the total number of cards sold for Mother's Day. We need to find the total number of cards sold.
  2. Set up the equation: Set up the equation.\newlineLet the total number of cards be xx. According to the problem, 5%5\% of xx is equal to 5050 cards. We can write this as 0.05×x=500.05 \times x = 50.
  3. Solve for x: Solve for x.\newlineTo find xx, we divide both sides of the equation by 0.050.05. So, x=500.05x = \frac{50}{0.05}.
  4. Perform the calculation: Perform the calculation.\newlineCalculating the value of xx gives us x=1000x = 1000. This means that 10001000 cards were sold for Mother's Day.
  5. Verify the solution: Verify the solution.\newlineTo verify, we take 5%5\% of 10001000 and check if it equals 5050. Calculating 0.05×10000.05 \times 1000 gives us 5050, which matches the information given in the problem.

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