Chapter 3.7, Problem 6P

To determine

To calculate: Selling price for each apple sold by Celia.

Answer to Problem 6P

Celia sold each apple for 70 cents.

Explanation of Solution

Given information:

Celia bought 12 apples.

10 of those she sold at 20 cents more than each apple cost.

Profit earned was $1.00.

Calculations:

Let x be the price of each apple she bought.

And

Each of 10 apples sold at price $x+20$ .

Then

	Number	Price (in cents)	Cost (in cents)
Bought	12	x	12x
Sold	10	x + 20	10x + 200

We know that

Profit = selling price − purchase price

Since

$1 = 100 cents

Thus,

  $10x+200-12x=100$

That becomes

  $-2x=-100$

Divide both sides by -2:

  $x=\frac{-100}{-2}=50$

Thus,

Celia paid 50 cents for each apple.

Now,

Each of 10 apples sold at

  $x+20=50+20=70$

Thus,

Celia sold each apple for 70 cents.