Chapter 1.2, Problem 67PPSE

Solution

To state: An algebraic problem that requires the use of a real-number properties to solve.

The problem is “Find the total cost to John if he purchased 5 notebooks at $2 each and 3 pens at $2 each”.

Given information:

The given statement says to write an algebraic problem that requires the use of real-number properties to solve.

Explanation:

Consider the Distributive property of real numbers:

Distributive property gives $a\left(b+c\right)=ab+ac$ .

Form a problem based on this property.

Find the total cost to John if he purchased 5 notebooks at $2 each and 3 pens at $2 each.

Find the cost of 5 notebooks and 2 pens and then add them.

Calculate the bill of 5 notebooks: $5\times \$2$ .

Calculate the bill of 2 pens: $2\times \$2$ .

Now add both to get the total bill:

  $5\times \$2+2\times \$2$

Use Distributive property and simplify,

  $\begin{array}{c}\$2\left(5+2\right)=\$2\left(7\right)\\ =\$14\end{array}$

Therefore, the total cost that John has paid is $14.