Question

When making lasagna, Mr. Harrington uses 1 pound of sausage for every 3/4 of a pound of mozzarella cheese. For a dinner party, Mr. Harrington wants to make an extra large lasagnawith 1 pound of mozzarella cheese. How much sausage will he need?Simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answer 1

You know that for every pound of sausage, Mr. Harrington uses 3/4 of a pound of mozzarella cheese for the lasagna.

To determine how much sausage he needs if he wishes to use one pound of mozzarella cheese, you can use cross multiplication:

3/4pound mozzarella _______ 1 pound sausage

1 pound mozzarella ________x pound sausage

Both relationships are at the same ratio so that:

`(1)/((3)/(4))=(x)/(1)\to(4)/(3)=x`

You can express the result as a mixed number:

`(4)/(3)=1(1)/(3)`

For every pound of mozzarella cheese, he needs 1 1/3 pounds of sausage.