the cost of 5 similar digital cameras and 3 similar camaras is 3213.00$. each video camera cost 4 times as much as each digital camera. john buys a digital camera and a video camera. how much does he pay

cost of digital camera --- x

cost of video camera ---- 4x

5x + 3(4x) = 3213
17x = 3213
x = 189

take it from there

Just realized I answered the same question about a year ago

http://www.jiskha.com/display.cgi?id=1350624298

To find out how much John pays for a digital camera and a video camera, we first need to determine the price of each camera.

Let's denote the cost of a digital camera as "x" (in dollars).
Since each video camera costs 4 times as much as each digital camera, the cost of a video camera would be 4x.

According to the information given, the cost of 5 similar digital cameras and 3 similar video cameras is $3213.00. We can create an equation based on this:

5x + 3(4x) = 3213

Let's solve this equation to find the value of x:

5x + 12x = 3213
17x = 3213
x = 3213/17
x ≈ 189

Now we know that the cost of one digital camera is approximately $189.

To find the cost of one video camera, we multiply the cost of a digital camera by 4:

4x = 4 * 189
4x = 756

So, the cost of one video camera is $756.

To determine how much John pays, we add the cost of one digital camera and one video camera together:

John pays $189 + $756 = $945.