Word problem: the pretty pizza company wants to open a new pizza place either on the north side of town or the south side of town. they want to open the pizza place where the ratio of pizza places per person is less than 0.01. the population of 15 blocks of the north side of town is 221 people per block, but there are already 32 pizza places in the area. the population of 22 blocks of the south area is 150 people per block, and there are 28 pizza places in the area. where, if anywhere, should the pretty pizza company open a new pizza place? . south side of town. north side of town. both

Let

r> the ratio of pizza places per person

we know that

In order for the Pretty Pizza Company to open a new pizza place, the ratio of pizza places per person must be less than .

so

Step

Find the ratio of pizza places in the north side of town

we know that

therefore

in the North side of town the Pretty Pizza Company should open a new pizza place

Step

Find the ratio of pizza places in the South side of town

we know that

therefore

in the South side of town the Pretty Pizza Company should open a new pizza place

Hence

The answer is

In both north and south sides of the town, they can open a new pizza place

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in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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