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Thunder Mountain Sport

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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by sanju09 » Thu May 13, 2010 5:08 am
Gilda is looking at the skateboards in the window of Thunder Mountain Sport store. The Blue Thunder skateboard costs $8.47 more than the Silver Streak skateboard, but $12.95 less than the Wizzard skateboard. The three skateboards together costs $160.00. How much does each skateboard cost?
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by kstv » Thu May 13, 2010 7:59 am
The Blue Thunder is closer to the average price = x
x-8.47+x+x+12.95 = 160
3x = 160 - 4.48
x= 51.84
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by debmalya_dutta » Thu May 13, 2010 10:31 am
Say , price of Silver Streak skateboard =x
This means price of Blue Thunder skateboard = x + 8.47
This means price of Wizzard skateboard = (x + 8.47) + 12.95
160 = x+[x+8.47]+[x + 8.47+12.95]
160=29.89+3x
3x=130.11
X=43.37

hence cost of Silver Streak skateboard = 43.37
cost of Blue Thunder skateboard = 43.37+8.47=51.84
cost of Wizzard skateboard=64.79
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by sitsmegain » Mon May 17, 2010 7:19 am
B = 8.47 + S
B = W - 12.95

B + S + W = 160
Now substitute the information .
B + (B-8.47) + ( B+12.95) = 160
we get B = 51.84, W = 64.79 and S = 43.37
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