Question

the ratio of the length to width in a full-size cello is approximately 8 to 3. What is the width of a full-size cello that is 45 inches long? (You must use a proportion to solve) ... PLS SHOW WORK AND EXPLAIN i’m confused

Answer 1

16.875 inches

Explanation:

From question statement , we observe that

The ratio of the length to width is 8 to 3.we have to find width when length is 45 inches.

Let l is the length of a full-size cello and w is the width of a full-size cello.

l/w = 8/3

putting the value of length in above equation , we get

45/w = 8/3

cross multiplying,we get

8w = 135

dividing by 8 to both sides of above equation,we get

8w/8 = 135/8

w = 16.875 inches

Hence, the width of full-size cello is 16.875 inches that is 45 inches long.

Answer 2

w = 16.875 inches

Explanation:

Given that the ratio of the length to width in a full-size cello is approximately 8 to 3.

This will be a constant for all cellos

Using the above we can find out length if we know width and vice versa.

Here we know the length = 45 inches

Since
`(l)/(w) =(8)/(3) =(45)/(w)`

BY cross multiplication we find that

8w = 3(45)

Or w = 16.875 inches

Verify:

Let us check our answer by comparing with proportion

l/w = 45/16.875 = 8/3

Hence our answer is right