Question

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

Answer 1

Answer:

x = 20

Step-by-step 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