Question

The ratio of 1 3/4 to 2 1/2 is equal to the ratio of 14
to what number?

Answer 1

x = 20

Explanation:

Write and solve an equation of ratios, as follows:

1 3/4 14

------------ = --------

2 1/2 x

where x is the unknown number.

Converting the mixed numbers to improper fractions, we get:

7/4 14

------ = -----

5/2 x

Here there are two numerators and two denominators. Multiplying all four quantities by 4 will remove some of the fractions:

7 56

------ = -------

10 4x

Cross multiplying, we get:

28 x = 560, or x = 20