Caitlyn sells her drawings at the county fair. She wants to sell at least 80 drawings and has portraits and landscapes. She sells the portraits for $10 each and the landscapes for $12 each. She needs to sell at least $840 worth of drawings in order to earn a profit.

Write a system of 2 inequalities to model this situation. Use " = x " for the number of portraits and " y " for the number of landscapes.

Question

Konnor Simpson

Mathematics

1 February, 01:29

Caitlyn sells her drawings at the county fair. She wants to sell at least 80 drawings and has portraits and landscapes. She sells the portraits for $10 each and the landscapes for $12 each. She needs to sell at least $840 worth of drawings in order to earn a profit.

Write a system of 2 inequalities to model this situation. Use " = x " for the number of portraits and " y " for the number of landscapes.

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Answers (1)

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Reid Hahn · Answer 1

x+y≥80

10x+12y=≥$840

Step-by-step explanation:

The total number of drawings must be the number of portraits added to the number of landscapes which must be equal to 80 or more

The total amount that must be made is the total of the number of each type of drawings multiplied by their amount each which must be $840 or more