SOLUTION: Please help me solve this...The cost of 5 similar digital cameras and 3 similar video cameras is $3,213. Each video camera costs 4 times as much as each digital camera. John buys a

Algebra ->  Expressions -> SOLUTION: Please help me solve this...The cost of 5 similar digital cameras and 3 similar video cameras is $3,213. Each video camera costs 4 times as much as each digital camera. John buys a      Log On


   

Question 668831: Please help me solve this...The cost of 5 similar digital cameras and 3 similar video cameras is $3,213. Each video camera costs 4 times as much as each digital camera. John buys a digital camera and as video camera. How much does he pay?

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Establish variables
x = dc
y = vc
...
Given
5x+3y = 3213
y = 4x
...
Solve for x
5x + 3(4x) = 3213
5x + 12x = 3213
17x = 3213
highlight_green%28x+=+189%29 for the digital camera
...
y = 4(189) = highlight_green%28y+=+756%29 for the video camera
...
189 + 756 = $highlight%28945%29 paid by John
.....................
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