Chapter 12.1, Problem 59STP

To determine

Find the number of T- shirts sold.

Answer to Problem 59STP

The number of T − shirts sold are $24$ .

Explanation of Solution

Given:

It is given in the question that the marching band sold T − shirts and hats, the total of $105$ items are sold and raised $\$1170$ and the cost of a hat and the t − shirt are $\$10\&\$15$ .

Concept Used:

In this, use the concept of making a linear equation.

Calculation: Let T be the T − shirt and H be the Hat.

Now, the first equation will be

  $T+H=105$ …………… (i)

Now, the equation for the price,

  $15T+10H=1170$ …………………(ii)

Now, put $H=105-T$ in equation (ii)

  $\begin{array}{l}15T+10H=1170\\ 15T+10(105-T)=1170\\ 15T+1050-10T=1170\\ 5T=1170-1050\\ 5T=120\\ T=24\end{array}$

Conclusion:

The number of t − shirt sold are $24$ .