SOLUTION: The problem I am struggling with is as follows: part a. If one inch on a map represents 35 miles, how many miles are represented by 3 inches? 10 inches? n inches? This is wha

Algebra ->  Proportions -> SOLUTION: The problem I am struggling with is as follows: part a. If one inch on a map represents 35 miles, how many miles are represented by 3 inches? 10 inches? n inches? This is wha      Log On


   

Question 86621This question is from textbook Mathematics for elementary teachers
: The problem I am struggling with is as follows:
part a. If one inch on a map represents 35 miles, how many miles are represented by 3 inches? 10 inches? n inches?
This is what I have done so far:
35 miles to 1 inch = x miles to 3 inches
35:1 = x:3 (cross multiply)
x = 105
35 miles to 1 inch = x miles to 10 inches
35:1 = x:10 (cross multiply)
x = 350
35 miles to 1 inch = x miles to n inches
35:1 = x:n (cross multiply)
x = 35n


part b. Los Angeles is about 1000 miles from Portland. About how many inches apart would Portland and Los Angeles be on this map?
Don't have any clue how to set this problem.
Thank you for your help.
Sincerely,
R. Franke
sylleobear@hotmail.com
 This question is from textbook Mathematics for elementary teachers

Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
Hello Franke,
Here goes the solution for your problem.

The first answer is absolutely correct!! :) Congrats..

By data: It is given that 1 inch = 35 miles.

Therfore 3 inches make 35 * 3 = 105 miles

Similarly, 10 inches make ==> 35 * 10 = 350 miles

Hence, calculating for "n" miles given 35 * n = 35n miles

Solution for the second problem:

It is given that:
1 inch = 35 miles
therfore 100 miles makes = ? inches

==> 100/35 = 28.57 inches.

This is the distance between Portland to Los angeles on the map
Regards