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3. last saturday, there were 1,486 people at the cineplex. there were a…

Question

  1. last saturday, there were 1,486 people at the cineplex. there were about the same number of people in each of the 6 theaters. between which two numbers does the number of people in each theater fall?

Explanation:

Step1: Calculate the number of people per theater

To find the number of people in each theater, we divide the total number of people (1,486) by the number of theaters (6). So we calculate $1486\div6$.

Step2: Estimate the quotient

We know that $6\times240 = 1440$ and $6\times250 = 1500$. Since $1440<1486<1500$, when we divide 1486 by 6, the quotient will be between 240 and 250 because $1486\div6=\frac{1486}{6}\approx247.67$, and 240 < 247.67 < 250.

Answer:

The number of people in each theater falls between 240 and 250.