Alden paid to have some programs printed for the football game last weekend. The printing cost per program was 54 cents, and the plan was to sell them for 75 cents each. Poor weather kept many fans away from the game, however, so unlucky Alden was left with 100 unsold copies, and lost $12 on the venture. How many programs did Alden have printed?

Question

Mathematics

Damaris

21 January, 23:28

Alden paid to have some programs printed for the football game last weekend. The printing cost per program was 54 cents, and the plan was to sell them for 75 cents each. Poor weather kept many fans away from the game, however, so unlucky Alden was left with 100 unsold copies, and lost $12 on the venture. How many programs did Alden have printed?

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Emily Davis · Answer 1

300 programs

Step-by-step explanation:

Let's work with cents to make this easier. We convert the $12 to cents, making 1200 cents

Let the number of copies Alden printed be x. His total printing cost would be x * 54 = 54x cents.

He sold at 75 cents each and still had left 100 copies. This means his total sale would be (x - 100) 75

He lost $12 on the venture. This means his cost price minus his selling price is $12 since it's a loss.

Computing this:

54x - 75 (x - 100) = 1200

54x - 75x + 7500 = 1200

-21x = 1200 - 7500

-21x = - 6,300

x = 6300/21 = 300 programs