Answer:
The value of a is 52.
Step-by-step 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:
[tex]5a - 10 = 10(12 + \frac{a}{4})[/tex]
If a is the number, what is the value of a?
Solving the equation:
[tex]5a - 10 = 120 + 2.5a[/tex]
[tex]2.5a = 130[/tex]
[tex]a = \frac{130}{2.5}[/tex]
[tex]a = 52[/tex]
The value of a is 52.
