SOLUTION: Hello. I have a problem here that I'm having trouble with. It's a word problem. It says:Sonya made a scale model of the new school in her town. She used a scale of 3/4in.=1ft. If t

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Hello. I have a problem here that I'm having trouble with. It's a word problem. It says:Sonya made a scale model of the new school in her town. She used a scale of 3/4in.=1ft. If t      Log On


   



Question 267823: Hello. I have a problem here that I'm having trouble with. It's a word problem. It says:Sonya made a scale model of the new school in her town. She used a scale of 3/4in.=1ft. If the height of the school model is 48 inches, What is the actual height of the school?
I tried it and I divided 48 by 3/4 then multiplying by 12 because there's 12 in. in a foot. Am I right? And if I'm not can you tell me what I did wrong?
Thank You!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Sonya made a scale model of the new school in her town. She used a scale of 3/4in.=1ft. If the height of the school model is 48 inches, What is the actual height of the school?
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Proportion:
x/48" = 1ft/(3/4)"
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Cross-multiply to get:
(3/4)x = 48
x = (4/3)*48
x = 4*16
x = 64 ft (height of the school)
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Cheers,
Stan H.


I tried it and I divided 48 by 3/4 then multiplying by 12 because there's 12 in. in a foot. Am I right?