Arthur D. answered • 01/03/14

Mathematics Tutor With a Master's Degree In Mathematics

Karenda W.

asked • 01/01/14this is the math question that i was ask to solve but do not understand. you are interesting in purchasing a wide-screen television set at target. on this type of tv the ratio of screen width to screen height is 16 to 9. if a certain model you are considering has a screen width of 48 inches, what is the height of the screen.

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Arthur D. answered • 01/03/14

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Mathematics Tutor With a Master's Degree In Mathematics

16 to 9 is the ratio

3*16=48 so 3*9=27 inches

Deanna L. answered • 01/01/14

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Electrical engineering major and music lover with MIT degree

this problem is best modeled as screen width x to screen height y where x:y is always the same. This means that:

x1/y2=x2/y2. If we know that x1=16 and y1=9 and x2 =48, you can plug in the numbers:

16/9 = 48/y2 to find that y2=48*9/16=27 inches.

Nicole R. answered • 01/01/14

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Hey Karenda,

You can set this up as a simple ratio. You want the width to height to be 16 to 9, which could be written as 16:9 or 16/9. If you're considering a screen with a width of 48, you would have 48 to "the TV's height", which could be written as 48:height or 48/height.

So now you can just compare the ratios and set them equal. 16/9 = 48/h. You can cross multiply to get 16h = 48*9. 48*9 = 432, so 432 = 16h. Divide both sides by 16 to get h = 27.

You can ensure that the answer is correct by seeing that 16/9 = 48/27.

Hope that helps!

-Nicole

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Karenda W.

01/02/14