Answer:
52
Step-by-step explanation:
given that the number is a
The expression for Ten less than 5 times the value of a number is given by
5a - 10
10 times the quantity of 12 more than one-fourth of the number.
a/4 is one-fourth of number
12 more than one-fourth of the number
a/4 + 12
expression for 10 times the quantity of 12 more than one-fourth of the number. is given by
10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120
Given that the above two expression are equal
equating them we have
5a - 10 = 2.5a + 120
adding 10 both sides
=>5a - 10+ 10 = 2.5a + 120 + 10
=> 5a = 2.5a + 130
subtracting 2.5a from both sides
=> 5a - 2.5a = 2.5a + 130 - 2.5a
=> 2.5a = 130
dividing both side by 2.5
=> a = 130/2.5 = 52
Thus, value of a is 52
That would be 1925 ( 15 + 05 = 19 and 10 + 15 = 25)
First you need to solve for how much you lose for each individual tax, so 420x.0765 will give you how much money you lose to social security tax, then do the same for the other types and add them together, the value will give you the amount you have lost, so taking the total (420) minus the amount lost you will have the amount that you can "take home"
So 420-((420x.0765)+(420x.22)+(420x.0595)) = amount still in your pocket
