Answer to Question #5101 in Algebra for Carol

Question

Sophia is going to make a tomato and fresh mozzarella cheese salad for a party. When she went to the farmers market, she saw that the tomatoes she wanted were $2.50 per pound and that the fresh mozzarella cheese was $5.00 per pound. She is wondering what combinations of whole pounds of tomatoes and mozzarella cheese she can buy with $20. Write an equation that represents the pounds t of tomatoes and pounds m of mozzarella cheese she can buy with $20. Graph the equation. Interpret the intercepts.

Answer 1

So let x- pounds of tomatoes
And y- pounds of mozzarella cheese
So we have equation
2.5x+5y=20
X=0& y=4
X=2& y=3

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Intercepts
(0,4),(8,0)