Barbra is buying plants for her garden. She notes that potato plants cost $3 each and corn plants co

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Barbra is buying plants for her garden. She notes that potato plants cost $3 each and corn plants cost $4 each. If she plans to spend at least $20 and purchase less than 15 plants in total, create a system of equations or inequalities that model the situation. Define the variables you use.

Define variables

• Let c be the number of corn plants
• Let p be the number of potato plants

Since cost = price * quantity, we're given two inequalities:

1. 3p + 4c >= 20 (the phrase at least means greater than or equal to)
2. c + p < 15