Question #d4dfe

1 Answer
Jul 19, 2017

See a solution process below:

Explanation:

Profit is calculated by subtracting the cost of the product from the income the profit brought in:

P = s - c Where:

P is the profit of the enterprise. $48 for this problem.

s is the sales of the products. What we need to solve for.

c is the cost of the products. $60 for this problem.

Substituting and solving for s gives:

48 = s - 60

48 + color(red)(60) = s - 60 + color(red)(60)

108 = s - 0

108 = s

s = 108

However, we need to know how much Camille is selling each doughnut for. The formula for this is:

s = d * n

Where:

s is the sales, from the solution above we know the sales where $108.

d is the price of a doughnut, what we need to solve for.

n is the number of doughnuts sold. The problem tells us Camille sold 80 doughnuts.

Substituting and solving for d gives:

108 = d * 80

(108)/color(red)(80) = (d * 80)/color(red)(80)

1.35 = (d * color(red)(cancel(color(black)(80))))/cancel(color(red)(80))

1.35 = d

d = 1.5

In the original equation we can substitute dn for s to give:

P = dn - c

If we want a generic formula for Profit based on the number of donuts sold we can substitute:

$1.35 for d as this is the sales price per doughnut

$60 for c as the cost Camille paid for the doughnuts

Giving:

P = 1.35n - 60