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Ratios and Proportions - enlarge photograph








































A snapshot measures 2 1/2 inches by 1 7/8 inches.

It is to be enlarged so that the longer dimension will be 4 inches.

The lengths of the enlarged shorter dimension will be:

1. 2 1/2 inches

2. 3 inches

3. 3 7/8 inches

4. None of the above

Comments for Ratios and Proportions - enlarge photograph

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Oct 08, 2013
enlarge photograph
by: Staff


Answer

Part I



the ratio between the two sides of the photograph is constant

width to length = width : length = width / length

width / length = (1 7/8 inches) / (2 1/2 inches)


width / length = (15/8) / (5/2)

width / length = (15/8) * (2/5)

width / length = 3/4


the ratio between the two sides of the photograph is constant




this ratio remains the same when the photograph is enlarged

(enlarged width) / (enlarged length) = 3/4

the enlarged length is known

enlarged length = 4 inches


substitute 4 inches for the enlarged length in the proportion

(enlarged width) / (enlarged length) = 3/4

(enlarged width) / (4 inches) = 3/4


solve for enlarged width

(enlarged width) / (4) = 3/4

multiply each side of the equation by 4


4 * ((enlarged width) / (4)) = 4 * (3/4)

enlarged width = 3 inches


the final answer is:

enlarged width = 3 inches, choice 2.



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Oct 08, 2013
enlarge photograph
by: Staff


-----------------------------------------------------


Part II


the ratio between the two sides of the photograph remains the same when the photograph is enlarged





solve for the enlarged width








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Oct 08, 2013
enlarge photograph
by: Staff


-----------------------------------------------------


Part III



enlarged width = 3 inches








Thanks for writing.

Staff
www.solving-math-problems.com



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