Question

If the ratio of b to a is equal to 6 and the difference of b and a is 12, what is the value of a?

Answer 1

a = 2.4

Explanation:

The problem statement tells you ...

b/a = 6

b - a = 12

Using the first equation, we can write an expression for b:

b = 6a . . . . . . . multiply both sides by "a"

This can be substituted into the second equation to find a value for "a":

6a -a = 12

5a = 12

a = 12/5 = 2.4

The value of a is 2.4.