A word problem.

Question

It costs John $10.50 to print and frame a photograph. He sold all but 20 of them for $36 each and made a total profit of $1,065. How many photographs did he print?

Answer 1

n represents the number of prints sold

Profit = Income - Cost

1065 = 36n - 10.50(n + 20)

Can you solve for n and answer?

Answer 2

so we know it costs $10.50 per photo/frame

And we don't know how many he started with but he ended with 20

He sold them for $36 each (So now we know the revenue per photo)

total profit is $1065

Total profit = total revenue - total cost

we know total profit but only unit cost and unit price. We need to multiply unit cost and unit price by the number of photos, which we will say is x

1065 = $36x - $10.50x combine like terms

1065 = $25.50 x

divide to solve for x

1065 / 25.50 = x

41.76 = x

we will say he sold 41 photos, 42 if you round up?

But how many did he print?

however many he sold plus the 20 he didn't

soo 41 + 20 = 61 photos

he printed 61 photos.