A woman buys a copy machine for $2100 and a plan that costs 4 cents per copy. She spends a total of $2760 in a yr which includes the cost of the machine & the copies made, how many copies were made

Answer 1

Subtract the cost of the machine from the grand total. That gives the total cost of the copies. Then divide that by the cost of a single copy. That gives the number of copies.

number of copies = [(total cost) - (cost of machine)] ÷ (cost of a single copy)

First, convert 4 cents to dollars.

4 cents = $0.04

number of copies = ($2760 - $2100) ÷ ($0.04) = (2760 - 2100) ÷ 0.04 = 16,500

Answer 2

Solve for x in the below equation. The total amount of money (2760) is equal to the original investment (2100), plus an unknown number of copies (the variable x) at .04 dollars each.

2760 = 2100 + .04x

Isolate x. Begin by subtracting 2100 from both sides.

2760 - 2100 = 2100 + .04x - 2100

660 = .04x

Divide both sides by .04.

660/.04=.04x/.04

x=16,500

Therefore, the woman made 16,500 copies on the machine, as x=16,500.