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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)

Sagot :

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

[tex]\dfrac{1}{2.54}[/tex] inch = 1 cm

On multiplying both sides by 10, we get

[tex]\dfrac{1}{2.54}\times 10[/tex] inch = 10 cm

Now, number of inches n in 10 cm is

[tex]n=\dfrac{1}{2.54}\times 10[/tex]

[tex]n=3.93700787402[/tex]

[tex]n\approx 3.9[/tex]

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