The cost of 5 similar digital cameras and 3 video cameras are $3213

Question

the cost of 5 digital cameras and 3 video cameras= 3,213.  Each video camera is 4times as much as a digital camera. How much is it for 1 dig camera and 1 video camera?

Answer 1

First pick variables to represent the two types of cameras.

For ease of identifying lets let

v = video camera cost

d = digital camera cost

 

 

Since the cost of 5 digital cameras and 3 video camers = 3213

we can set up the following equation.

5d + 3v = 3213

 

Each video camera is (or equals) 4 times as much as a digital camera so:

v = 4d

 

Substitute 4d in place of v in the first equation.

5d + 3(4d) = 3213

5d + 12d = 3213

17d = 3213

d = 3213/17

d = $189

 

v = 4d = 4(189) = $756

 

1 digital camera costs $189

1 video camera costs $756

 

Check:  5d + 3v = 3213

            5(189) + 3(756) = 3213

            945 + 2268 = 3213

            3213 = 3213

            Answer works and is correct