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Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 41 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 4141 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 4141 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 are given that 4141 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 sold be xx. According to the problem, 5%5\% of xx is equal to 4141.\newlineSo, we can write the equation as 0.05×x=410.05 \times x = 41.
  3. Solve for x: Solve for x.\newlineTo find xx, we divide both sides of the equation by 0.050.05.\newlinex=410.05x = \frac{41}{0.05}
  4. Perform the calculation: Perform the calculation. x=410.05=820x = \frac{41}{0.05} = 820
  5. Verify the solution: Verify the solution.\newlineIf 820820 is the total number of cards sold, then 5%5\% of 820820 should be 4141.\newline5%5\% of 820820 is 0.05×820=410.05 \times 820 = 41, which matches the given information.

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