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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 $41$ cards, which was $5 \%$ of the cards sold for Mother's Day. How many cards were sold for Mother's Day? $\newline$ Answer:

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Solve percent word problems

Full solution

Q. 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?

\newline

Answer:

Understand the problem: Understand the problem. $\newline$ We are given that $41$ cards represent $5\%$ of the total number of cards sold for Mother's Day. We need to find the total number of cards sold.
Set up the equation: Set up the equation. $\newline$ Let the total number of cards sold be $x$ . According to the problem, $5\%$ of $x$ is equal to $41$ . $\newline$ So, we can write the equation as $0.05 \times x = 41$ .
Solve for x: Solve for x. $\newline$ To find $x$ , we divide both sides of the equation by $0.05$ . $\newline$ $x = \frac{41}{0.05}$
Perform the calculation: Perform the calculation. $x = \frac{41}{0.05} = 820$
Verify the solution: Verify the solution. $\newline$ If $820$ is the total number of cards sold, then $5\%$ of $820$ should be $41$ . $\newline$ $5\%$ of $820$ is $0.05 \times 820 = 41$ , which matches the given information.

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