Jill and Jack are getting vegetables from the Farmer's Market. Jill buys 12 carrots and 8 tomatoes f

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Jill and Jack are getting vegetables from the Farmer's Market. Jill buys 12 carrots and 8 tomatoes for $34. Jack buys 10 carrots and 7 tomatoes for $29. How much does each carrot and each tomato cost?

Let the cost of carrots be c and the cost of tomatoes be t. Since the total cost is price times quantity, We're given two equations:

1. 12c + 8t = 34 <-- Jill
2. 10c + 7t = 29 <-- Jack

We have a system of equations. We can solve this one of three ways:

1. Substitution Method
2. Elimination Method
3. Cramer's Rule

No matter what method we choose, we get:

• t = 2
• c = 1.5