SOLUTION: A company's sales in Seattle were $400,000 in 2012, while their sales in Portland were $295,000 for the same year. Complete the following statements: a. Seattle's sales were % l

Question 1175098: A company's sales in Seattle were $400,000 in 2012, while their sales in Portland were $295,000 for the same year. Complete the following statements:
a. Seattle's sales were % larger than Portland's.
b. Portland sales were % smaller than Seattle's.
c. Portland sales were % of Seattle's.
Give answers accurate to at least one decimal place.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
seattle's sales were 400,000 and portland's sales were 295,000 in 2012..

the difference between seattle's sales and portland's sales in 2012 was 400,000 minus 295,000 = 105,000.
seattle's sales were larger than portland's by 105,000.
portland's sales were smaller than seattle's by 105,000.

complete the following statements.

a. Seattle's sales were 35.6% larger than Portland's.

seattle's sales were larger by 105,000.
portland's sales were 295,000.
105,000 / 295,000 = .3559322034 * 100 = ***** 35.6% *****
the numerator is the amount of sales greater than portland's.
the denominator is the amount of portland's sales.

b. Portland sales were 26.3% smaller than Seattle's.

portland's sales were smaller by 105,000.
seattle's sales were 400,000.
105,000 / 400,000 = .2625 * 100 = ***** 26.3% *****
the numerator is the amount of sales smaller than seattle's.
the denominator is the amount of seattle's sales.

the difference between the seattle sales and the portlant sales is the same in questions a and b.
what is different is whose sales are in the denominator.
in a, you are being asked how much larger than portland's, so portland is in the denominator.
in b, you are being asked how much smaller than seattle's, so seattle is in the denominator..

c. Portland sales were 73.8% of Seattle's.

in this question, they are not looking for the difference in the sales between portland and seattle.
they are looking for the total of portland's sales in comparison to the total of seattle's sales.
portland's sales are in the numerator.
seattle's sales are in the denominator.
that would be 295,000 / 400,000 = .7375 * 100 = ***** 73.8% ***** of seattle's sales.
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