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Madelyn is taking art commissions at an anime convention. She charges $25 for black and white drawings and 40% more for colored drawings. If she sells 14 black and white drawings, what is the minimum number of colored drawings she will have to sell to earn at least $500 from art commissions at the convention?

User Okkenator
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Final answer:

Madelyn earns $350 from selling 14 black and white drawings. A colored drawing costs 40% more, equivalent to $35. To reach $500 in earnings, she needs to sell a minimum of 5 colored drawings.

Step-by-step explanation:

First, we can calculate the total earning that Madelyn gets from selling 14 black and white drawings. This would be 14 drawings x $25/drawing = $350. To understand how much she earns from a colored drawing, we calculate 40% of $25, which comes to $10. So, a colored drawing costs $25 + $10 = $35.

To find out how many colored drawings she needs to sell to make a total of $500, we first calculate the remaining amount she needs which is $500 - $350 = $150. Then we divide this by the cost of each colored drawing. So, she needs to sell $150 / $35 = approximately 4.3 drawings. Since she cannot sell a fraction of a drawing, she needs to sell minimum 5 colored drawings to earn at least $500.

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User Daminufe
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