The costs 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 a video camera. How much does he pay?

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LisaAura1 LisaAura1

14-10-2014
Mathematics

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The costs 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 a video camera. How much does he pay?

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rabinshrestha41 rabinshrestha41 · Answer 1 · 2014-10-14T22:17:56-04:00

Let,
digital cameras be "x"
video cameras be "y"
Now,
According to the question,
5x + 3y = $3,213..................................................equation (1)
y = 4x..................................................................equation (2)

Taking equation (1)
5x + 3y = $3,213
Substituting the value of "y" from equation (2), we get,
5x + 3(4x) = $3,213
5x + 12x = $3,213
17x = $3,213
x = $3,213 / 17
x = $189

Taking equation (2)
y = 4x
Substituting the value of "x", we get,
y = 4 ($189)
y = $756

Now,
John buys a digital and a video camera. So, it costs him ($189 + $756) = $945