Question

Ten less than 5 times the value of a number is equal to 10 times the quantity of

12 more than one-fourth of the number. If a is the number, what is the value of a?

Answer 1

The value of a is 52.

Explanation:

Ten less than 5 times the value of a number

5a - 10

is equal to 10 times the quantity of 12 more than one-fourth of the number.

This means that:

`5a - 10 = 10(12 + (a)/(4))`

If a is the number, what is the value of a?

Solving the equation:

`5a - 10 = 120 + 2.5a`

`2.5a = 130`

`a = (130)/(2.5)`

`a = 52`

The value of a is 52.