Chapter 8.3, Problem 14IP

To determine

How much does T-shirt cost

Answer to Problem 14IP

The cost of T-shirt is $x=21.25$

Explanation of Solution

Given:

Suppose you purchase 3 identical T-shirts and a hat. The hat costs $19.75 and you spend $56.50

Concept Used:

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

In order to find an equation

Let x be the each T-shirt cost in which we have 3 identical T-shirts and a hat

For x T-shirt cost will be $3x$ and add the cost of hat $19.75$ is equal to $56.50$

Thus, the equation is $3x+19.75=56.50$

In order to solve the equation $3x+19.75=56.50$ first subtract both sides by $19.75$ and then divide both sides by $3$ and then simplify as below

  $\begin{array}{c}3x+19.75=56.50\\ 3x+19.75-19.75=56.50-19.75\\ 3x=36.75\\ \frac{3x}{3}=\frac{36.75}{3}\\ x=21.25\end{array}$

Thus, the cost of T-shirt is $x=21.25$