Chapter 6.1, Problem 53PFA

To determine

Find the number of shirts from each type did jenny sell.

Answer to Problem 53PFA

The number of sweatshirt and t- shirt sold are $2$ and $10$ .

Explanation of Solution

Given:

It is given in the question that Jenny is selling T- shirts and sweatshirts to raise money fro the pep squad. She sold $12$ shirts total in that the number of T- shirts jenny sold was $2$ more than $4$ times the number of sweatshirts she sold.

Now, from the above statement, it has to make a equation from understanding the correct variable.

Let the number of sweatshirts sold = x .

Then, the number of t − shirt sold = $4x+2$ ( $2$ more than $4$ times)

Now, the total clothes sold = $12$

According to question,

  $\begin{array}{l}x+4x+2=12\\ 5x=12-2\\ 5x=10\\ x=2\end{array}$

Now, put the value of x in the above two variable,

The number of sweatshirt sold = $2$ .

The number of t − shirt sold =

  $\begin{array}{l}4x+2\\ =4(2)+2\\ =8+2\\ =10\end{array}$