Question

The distance between Cleveland, Ohio, and St. Louis, Missouri, is 3 miles less than 2 times the distance between St. Louis and Chicago, Illinois. Let d be the distance between St. Louis and Chicago. Which expression can you use to represent the distance between Cleveland and St. Louis?

Answer 1

Answer:

$D=2d-3$

Step-by-step explanation:

Let 'D' be the distance between Cleveland and St. Louis.

Given:

'd' is the distance between St. Louis and Chicago.

The distance between Cleveland and St. Louis is 3 miles less than 2 times the distance between St. Louis and Chicago. This means,

The distance 'D' is 3 miles less than 2 times the distance 'd'.

Now, framing in equation form we get:

2 times 'd' means multiplying 2 to 'd'. This gives $2d$

Now, 3 miles less than $2d$ means subtracting 3 from $2d$. This gives,

$D=2d-3$

Therefore, the distance between Cleveland and St. Louis is given as:

$D=2d-3$