SOLUTION: A salesperson works in the TV ans stereo department of an electronics store. One day she sold 3 TV's and 4 Stereos for $2530. The next day, she sold 4 TVs and 3 stereos $2510. Assu

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Question 467431: A salesperson works in the TV ans stereo department of an electronics store. One day she sold 3 TV's and 4 Stereos for $2530. The next day, she sold 4 TVs and 3 stereos $2510. Assuming they are all the same TV's and stereos hat is the price of each TV ans stereo?
Found 2 solutions by stanbon, lwsshak3:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
One day she sold 3 TV's and 4 Stereos for $2530. The next day, she sold 4 TVs and 3 stereos $2510. Assuming they are all the same TV's and stereos hat is the price of each TV ans stereo?
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Equations:
3t + 4s = 2530
4t + 3s = 2510
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Multiply thru 1st by 4
Multiply thru 2nd by 3
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12t + 16s = 4*2530
12t + 9s = 3*2510
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Subtract and solve for "s":
7s = 2590
s = $370.00 (price of each stereo)
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Solve for "t":
3t + 4s = 2530
3t + 4*370.00 = 2530
3t = $1050.00
t = $350.00(price of each TV)
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Cheers,
Stan H.
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Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website!
A salesperson works in the TV ans stereo department of an electronics store. One day she sold 3 TV's and 4 Stereos for $2530. The next day, she sold 4 TVs and 3 stereos $2510. Assuming they are all the same TV's and stereos hat is the price of each TV ans stereo?
..
let x=price of stereos
let y=price of TV's
..
3y+4x=2530
4y+3x=2510
..
12y+16x=4*2530 (1st eq.*4)
12y+9x=3*2510 (2nd eq.*3
subtract
7x=2590
x=2590/7=370
..
4y=2510-3x=2510-3*370=1400
y=1400/4=350
Ans:
Price of stereo=$370
Price of TV=$350