Question

If 1 inch = 2.54cm, then set up and solve a proportion that finds how many inches, n, there are in 10 cm. (Round your answer to the nearest tenth)

Answer 1

Given:

1 inch = 2.54 cm

To find:

The number of inches, n, in 10 cm.

Solution:

We have,

1 inch = 2.54 cm

On dividing both sides by 2.54, we get

$\dfrac{1}{2.54}$ inch = 1 cm

On multiplying both sides by 10, we get

$\dfrac{1}{2.54}\times 10$ inch = 10 cm

Now, number of inches n in 10 cm is

$n=\dfrac{1}{2.54}\times 10$

$n=3.93700787402$

$n\approx 3.9$

Therefore, the number of inches in 10 cm is 3.9.