Question

13) A photo center charges $0.35 per 4x6 photo that you print. If youpay $6 for a loyalty card, you get a discounted rate of $0.20 per 4x6photo that you print.a. Write an equation to find the number of photos you wouldneed to print to make the cost of each plan the same. Use pto represent the number of photos.|solve How many photos would you need to print to make

Answer 1

If we do not pay for the loyalty card, then our charges for p photos will be

`0.35p`

If we do pay for the loyalty card, then the cost of p photos will be

`0.2p+6`

If we want the cost of the two plans the same then the above expressions must be equal; therefore, we have

`\textcolor{#FF7968}{0.2p+6=0.35p}`

Now we solve for p by subtracting 0.2p from both sides

`0.2p+6-0.2p=0.35p-0.2p`
`\rightarrow6=0.15p`
`\textcolor{#FF7968}{\therefore p=40.}`

Hence, you need to print 40 photos in order to make the price of the two plans the same.