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Bob's Gift Shop sold 800 cards for Mother's Day. One salesman, Luis, sold 20% of the cards sold for Mother's Day. How many cards did Luis sell?

Question

Bob's Gift Shop sold 800 cards for Mother's Day. One salesman, Luis, sold 20% of the cards sold for Mother's Day. How many cards did Luis sell?

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Solution

1. ### Break Down the Problem

To find out how many cards Luis sold, we need to calculate 20% of the total cards sold for Mother's Day, which is 800 cards.

2. ### Relevant Concepts

To calculate a percentage, we can use the formula: Amount=(Percentage100)×Total \text{Amount} = \left(\frac{\text{Percentage}}{100}\right) \times \text{Total} Here, Percentage = 20 and Total = 800.

3. ### Analysis and Detail

Plugging the values into the formula: Amount=(20100)×800 \text{Amount} = \left(\frac{20}{100}\right) \times 800 Amount=0.2×800 \text{Amount} = 0.2 \times 800 Amount=160 \text{Amount} = 160 So, Luis sold 160 cards.

4. ### Verify and Summarize

We check the calculation: Total cards sold=800,Percentage sold by Luis=20% \text{Total cards sold} = 800, \quad \text{Percentage sold by Luis} = 20\% Calculate: 20% of 800=160 20\% \text{ of } 800 = 160 The calculations are correct.

Final Answer

Luis sold 160 cards for Mother's Day.

This problem has been solved

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