Chapter 2.1, Problem 30P

A community center is serving a free meal to senior citizens. The center plans to feed 700 people in 4 hours.

a. Write and solve an equation to find the average number of people the center is planning to feed each hour.

b. During the first hour and a half, the center fed 270 people. Write and solve an equation to find the number of people that remain to be fed.

To determine

To write an equation to find the average number of people, the centre is planning to feed each hour.

Answer to Problem 30P

  $x=\frac{700}{4}$

Explanation of Solution

Given:

Number of people: 700

Time: 4 hours

Calculation / Explanation:

Given that a community centre is serving 700 senior citizens in 4 hours.

So, Let the number of senior citizens that the community centre serves in an hour is x.

Hence, it can be modelled as,

  $\begin{array}{c}x=\frac{700}{4}\\ =175\end{array}$

Therefore, the community serves 175 people in an hour.

Conclusion:

Therefore,

To determine

To write and solve an equation to find the remaining citizens to be sold.

Answer to Problem 30P

450

Explanation of Solution

Given:

Number of senior citizens served in one and half hours is 270

Calculation:

Let x be the number of persons saved in an hour.

Number of persons served in 1.5 hours is 270.

Hence,

  $\begin{array}{c}1.5x=270\\ x=\frac{270}{1.5}\\ x=180\end{array}$

Therefore the remaining number of hours is 4 − 1.5 = 2.5

Hence,

  $\begin{array}{c}2.5x=2.5(180)\\ =450\end{array}$

Conclusion:

Therefore, the remaining number of senior citizens to be served is 450.