CPM Homework Help : CC2MN Problem 10-79

James lives in Columbus, OH, and wants to know how far he is from Indianapolis. On his map, the two cities are $1\frac{3}{4}$ inches apart. At the bottom of the map, he sees the scale at right. Write a proportion and then find the distance from Columbus to Indianapolis.

Hint 1:

If one fourth of an inch is equal to $25$ miles, you will need to find how many one fourths are in one and three fourths. Can you first find how many one fourths are in $1$ ?

Hint 2:

James drew this diagram to help find how many one fourths are in $1$ . Can you complete the diagram to find how many one fourths are in three fourths?

A circle divided into 4 equal pie shaped pieces all shaded.

More Help:

A circle divided into 4 equal pie shaped pieces, three of which are shaded.

The diagrams show that there are $7$ one fourths in one and three fourths. Use multiplication and the scale above to find how many miles there are from Columbus to Indianapolis.

Partial Answer:

James lives $175$ miles from Indianapolis. Did you remember to explain how you know?