Melinda purchased 3 blank cassette tapes and 5 blank videotapes for a total of $22.10 not including tax. if each videotape cost twice the price of cassette tape, what did Melinda pay for 1 videotape?

The cost of 1 videotape = $ 3.4

Step-by-step explanation:

Let us assume the cost of each cassette tap = $ m

So, the cost of each videotape = 2 x (Cost of 1 cassette) = 2 x m = 2 m

Now, the cost of 3 cassette tap = 3 x (Cost of 1 cassette) = 3 x m = 3 m

Also, the cost of 5 videotape = 5 x (Cost of 5 videotape) = 5 x (2m) = 10 m

So, the cost of 3 cassette tap + 5 videotape = 3 m + 10 m

Also, given 3 blank cassette tapes and 5 blank videotapes costs $22.10.

⇒ 3 m + 10 m = $22.10

or, 13 m = 22.10

⇒ m = 22.10/13 = 1.7

or, m = $1.7

Hence, the cost of 1 cassette = m = $1.7

And, the cost of 1 videotape = 2 m = 2x ($1.7) = $ 3.4