Asked by mama

Ms. Madeja is planning a trip to Trenton, NJ and the map has a scale indicator of 3/4 inch=25 miles
Ms.Madeja measured 6 and 3/4 inches in Trenton.What is the distance she will travel...please help, thanks.

(A)20.25 miles
(B)225 miles
(C)27.78 miles
Answered by Damon
6.75 (25/.75) = 225 miles

You could have guessed which answer was right by doing 8 * 25 = 200 in your head.
It is clearly not going to be less than 30 miles :)
Answered by mama
Damon, thanks I got how to get 6.75 it is 6 and 3/4 but how do I work out the answer ...thanks
Answered by mama
Damon, thanks I get how to get 6.75 it's 6 and 3/4 but how do I work it out to get the answer , thanks for your help.
Answered by Damon
I did it in the first line above:

6.75 (25/.75) = 225 miles
Answered by Damon
6.75 inches ( 25 miles/ .75 inch) = 225 miles
Answered by mama
But I got 20.25 miles not sure, 25/75 = 3 times 6.75=20.25
Answered by Damon
Huh?

3/4 inch = 25 miles

1 inch = 25(4/3) = 100/3 miles = 33.3333 miles

6 inches = 33,3333* 6 = 200 miles

3/4 inch = 25 miles
so
6 inches + 3/4 inch = 225 miles
Answered by Damon
Always do unit problems so the units you do not want cancel and you are left with what you want
in this case cancel inches so you end up with miles
6.75 inches ( 25 miles/ .75 inch) = 225 miles
Answered by mama
Duh.. Really slow today but thank you for being so very helpful. I do appreciate your help.
Answered by Damon
or if you like proportions
.75 inch/25 miles = 6.75 inch/x miles

x (.75 inch) = = 6.75 inch * 25 miles

x = 6.75 * 25 / .75 = 225 miles
Answered by Damon
I am a physicist and tend to use unit conversions where an algebra person would use proportions.
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