A recipe for lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he need?

This question can be answered using two ratios.

You know that 3 pounds of tomatoes can serve 5 people, giving you the ratio 3/5.

You would like to know how many pounds would serve 110 people, giving you the ratio x/110.

Since the ratio of tomatos to people is a constant, you can set the two ratios equal.

3/5  =   x/110

Now you would solve for x by cross multiplying.

110*3 = 5*x

330 = 5x

330/5 = x

66 = x

This means 66 lbs of tomatoes can serve 110 people.

b.an increase in a causes b to decrease

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