Chapter 0.1, Problem 5E

To determine

To calculate:The amount of money donated by students to purchase a new tree for the school.

Answer to Problem 5E

The amount of money donated by students to purchase a new tree for the school is $\$9875$ .

Explanation of Solution

Given information:

The donation provided by students is tabulated below,

  $\begin{array}{cc}\begin{array}{l}\text{Number of}\\ \text{students}\end{array}& \begin{array}{l}\text{Amount of}\\ \text{Each donation}\end{array}\\ 20& \$250\\ 15& \$325\end{array}$

Formula used:

Four step plan is used to solve situations with help ofmathematical tools.

First understand the situation. Plan the solution according to it then solve it using mathematical tools and at last verify your solution.

Calculation:

Consider the donation provided by students is tabulated below,

  $\begin{array}{cc}\begin{array}{l}\text{Number of}\\ \text{students}\end{array}& \begin{array}{l}\text{Amount of}\\ \text{Each donation}\end{array}\\ 20& \$250\\ 15& \$325\end{array}$

An exact answer is required for the problem as amount donated by students to purchase a tree is to be evaluated.

It is provided that $\$250$ each is donated by 20 students. Denote the total amount denoted by those 20 students by $A_1$ . Therefore,

  $\begin{array}{c}{A}_1=250\times 20\\ =5000\end{array}$

The total amount denoted by 20 students is $\$5000$ .

It is provided that $\$325$ each is donated by 15 students. Denote the total amount denoted by those 15 students by $A_2$ . Therefore,

  $\begin{array}{c}{A}_2=325\times 15\\ =4875\end{array}$

The total amount denoted by 15 students is $\$4875$ .

Now, total amount A donated by all students is,

  $\begin{array}{c}A=A_1+A_2\\ =5000+4875\\ =9875\end{array}$

Since, the total amount collected is more than the individual collection, the answer is verified.

Thus, the amount of money donated by students to purchase a new tree for the school is $\$9875$ .