Question

A map use the scale 3/4 of an inch to represent 3 miles .if the actual distance between two cities is25 miles ,then what is the length on the map

Answer 1

given:

3/4 inch

3 miles

to find:

the length of the map

solution:

Based on the given conditions, write:

x= 34/ 4 · 25/ 3

Write as a single fraction:

x= 3 × 25/ 4/ 3

Divide a fraction by multiplying its reciprocal:

x= 3 x 25/ 4 × 1/ 3

Write as a single fraction:

x= 3 x 25/ 4 × 3

Reduce fraction to the lowest term by canceling 25 the greatest common factor:

x= 25/4

therefore,the length of the map is 25/ 4.