SOLUTION: Below is a proportions word problem and the answer. However, I am trying to determine which number,(300 or 30), should be the numerator and which number,(300 or 30),should be the

Question 1183168: Below is a proportions word problem and the answer. However, I am trying to determine which number,(300 or 30), should be the numerator and which number,(300 or 30),should be the denominator when solving this problem.
Question: "The Statue of Liberty is about 300 feet tall and about 30 feet
wide. The town of Unionville is building a smaller model for
their Fourth of July celebration. Unionville's statue will be 3
feet wide. How tall should Unionville's statue be?

Answer: 300 feet tall = ? feet tall
30 feet wide 3 feet wide
Compare the denominators.
300 feet tall = ? feet tall
30 feet wide 3 feet wide
To get from 30 to 3, divide by 10. Divide the numerator and
denominator by 10 to find how tall the statue should be.
300 feet tall ÷10 = 30 feet tall
30 feet wide ÷10 = 3 feet wide
Unionville's statue should be 30 feet tall."
Found 3 solutions by ikleyn, MathLover1, MathTherapy:
Answer by ikleyn(52785)   (Show Source): You can put this solution on YOUR website!
.

The right proportion in this case is an equality of ratios of CORRESPONDING dimensions.

Usually, and as a rule, such proportion can be written in several different forms,

            (and there is no sense to list them all)

BUT, if you write these proportions following to this rule,

then THEY ALL ARE EQUIVALENT and produce the SAME ANSWER.

-----------

See the lesson
    - Typical problems on proportions
in this site.

This lesson is written specially for you.

Read it and become an expert in this area.

Consider this lesson as your textbook, handbook, tutorial and (free of charge) home teacher.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

a proportion is:
where will tell you how tall should Unionville's statue be
...simplify left side
....cross multiply

Unionville's statue should be feet tall

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
+
Below is a proportions word problem and the answer. However, I am trying to determine which number,(300 or 30), should be the numerator and which number,(300 or 30),should be the denominator when solving this problem.
Question: "The Statue of Liberty is about 300 feet tall and about 30 feet
wide. The town of Unionville is building a smaller model for
their Fourth of July celebration. Unionville's statue will be 3
feet wide. How tall should Unionville's statue be?

Answer: 300 feet tall = ? feet tall
30 feet wide 3 feet wide
Compare the denominators.
300 feet tall = ? feet tall
30 feet wide 3 feet wide
To get from 30 to 3, divide by 10. Divide the numerator and
denominator by 10 to find how tall the statue should be.
300 feet tall ÷10 = 30 feet tall
30 feet wide ÷10 = 3 feet wide
Unionville's statue should be 30 feet tall."

300 feet tall = ? feet tall ===> 300' = ?' 30 feet wide 3 feet wide ===> 30' 3'

Compare the denominators: 30 and 3

To get from 30 to 3, divide by 10. Divide the numerator and denominator by 10:   
                              ===> 300' ÷ 10  = ?'  = 30' 
                              ===>  30' ÷ 10    3'     3'

To find how tall the statue should be.: Unionville's statue should be 30 feet tall (see above). 

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