Chapter 6.2, Problem 36PPE

To determine

Total number of small and large prints sold.

Answer to Problem 36PPE

Number of small prints sold is 5 and number of large prints sold is 10.

Explanation of Solution

Given:

Cost of small prints is $20

Cost of large prints $45

Total renting amount is $510

Let total number of small prints are x and total number larger prints are y .

Therefore, $20x+45y\ge \$510\mathrm{......}\left(1\right)$

It is given that number of large prints sold is twice of number of small prints sold.

Therefore,

  $y=2x\mathrm{.......}\left(2\right)$

Using equation (2) in equation (1).

  $\begin{array}{l}20x+45\left(2x\right)=510\\ \Rightarrow 20x+90x=510\\ \Rightarrow 110x=510\\ \Rightarrow x=4.6\\ \Rightarrow x\cong 5\end{array}$

Now, substituting the value of x in equation (2).

  $\begin{array}{l}y=2x\\ =2\times 5\\ \Rightarrow y=10\end{array}$