Chapter 8.1, Problem 37WE

To determine

To find: The number of each poster bought.

Answer to Problem 37WE

The different number of small and the large poster bought is shown in Table 1

Explanation of Solution

Given:

The cost of small poster is $\$2$ .

The cost of large poster is $\$34$ .

The cost of all the posters is $\$34$ .

Calculation:

Consider the small poster is $x$ and the large poster is $y$ then,

  $\begin{array}{l}2x+8y=34\\ x+4y=17\\ x=17-4y\end{array}$

The table for the number of small poster bought and the large poster bought is shown in Table 1

Table 1

Number of large posters $y$	$x=17-4y$
$1$	$\begin{array}{c}x=17-4\left(1\right)\\ =13\end{array}$
$2$	$\begin{array}{c}x=17-4\left(2\right)\\ =9\end{array}$
$3$	$\begin{array}{c}x=17-4\left(3\right)\\ =5\end{array}$