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
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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.