Chapter 4.6, Problem 14PPS

To determine

To find: The cost of each T-shirt

Answer to Problem 14PPS

The cost of each T-shirt is $13.

Explanation of Solution

Given:

Total T-shirts are 3.

The cost of hat is $21.

Total amount of money spend on both T-shirts and the hat is $60.

Calculation:

Let t be the cost of each T-shirt.

Total T-shirts are 3.

So, the cost of three T-shirts is 3t.

Also the cost of hat is $21.

Total amount of money spend on both T-shirts and the hat is $60.

Putting all together, the required equation is,

  $3t+21=60\mathrm{.......}\text{(1)}$

Find the cost of each T-shirt.

Solve the equation (1) for t,

  $\begin{array}{l}3t+21=60\\ 3t+21-21=60-21\text{ Subtraction property of Equality}\\ 3t=39\text{ Simplify}\\ \frac{3t}{3}=\frac{39}{3}\text{ Divide by 3 on both sides}\text{.}\\ t=13\text{ Simplify}\end{array}$

Hence, the cost of each T-shirt is $13.

Conclusion:

Hence, the cost of each T-shirt is $13.