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 225 people per block, but there are already 36 pizza places in the area. The population of 22 blocks of the south area is 275 people per block, and there are 37 pizza places in the area. Where, if anywhere, should the Pretty Pizza Company open a new pizza place? ( 1 point)
Neither side of town
South side of town
North side of town
Both sides of town

Answer

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Answer

Final Answer: The Pretty Pizza Company should open a new pizza place on the \(\boxed{\text{South side of town}}\).

Steps

Step 1 :First, we need to calculate the ratio of pizza places per person for both the north and south side of town. The ratio is calculated by dividing the number of pizza places by the total population of the area.

Step 2 :For the north side of town, the total population is \(225\) people/block * \(15\) blocks = \(3375\) people. The ratio of pizza places per person is then \(36\) pizza places / \(3375\) people = \(0.010666666666666666\).

Step 3 :For the south side of town, the total population is \(275\) people/block * \(22\) blocks = \(6050\) people. The ratio of pizza places per person is then \(37\) pizza places / \(6050\) people = \(0.006115702479338843\).

Step 4 :We then compare these ratios to the desired ratio of less than \(0.01\). If the ratio for an area is less than \(0.01\), then the Pretty Pizza Company should consider opening a new pizza place in that area.

Step 5 :Final Answer: The Pretty Pizza Company should open a new pizza place on the \(\boxed{\text{South side of town}}\).

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