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What is the easiest way to figure out how to set up an equation that consists of the is/of..this is hard for me to set up a the problem correctly..Help!

such as : If 1/4 inch on a map represents 8 miles, how many miles are represented by 3 and 3/4 inches on the map?

Philip P. | Effective and Affordable Math TutorEffective and Affordable Math Tutor
4.9 4.9 (416 lesson ratings) (416)
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The easiest way to set this up is as a proportion:

3 3/4          x
------  =  -------      where x is the unknown number of miles represented by 3 3/4 inches
(1/4)         8

The ratio of 3 3/4 inches to 1/4 inch is the same as the unknown x miles is to 8 miles.  Now solve for x.

Well since the answer cat is now out of the bag, I'll go ahead and solve for x:

8*4*(15/4) = x
8*15 = x
120 miles = x

Thank you!
Arthur D. | Effective Mathematics TutorEffective Mathematics Tutor
5.0 5.0 (7 lesson ratings) (7)
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1/4 inch represents 8 miles
how many 1/4 inch segments are in 3 3/4 inches ?
you can divide 3 3/4 by 1/4 to get (15/4)/(1/4)=(15/4)*(4/1)=15
you have 15 groups of 8 which is 15*8=120 miles
another way to look at it:
each inch has 4 quarters(1/4), you have 3 inches, 3*4=12 plus 3/4 has 3 quarters(1/4) for a total of 15 quarters(1/4)

Thank you!
Shelly J. | Excellent Maths Tutoring for academic successExcellent Maths Tutoring for academic su...
5.0 5.0 (247 lesson ratings) (247)
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Hi Kristin,

1/4 inch on a map represents miles=8

1 inch on a map represents  miles=8÷1/4=8×4

3 3/4=15/4 inch on a map represents miles=8×4×15/4=8×15=120 miles