SOLUTION: Six is subtracted from a number. The result is divided by four. This result is added to 10 to give 30. What is the number? A. 4 B. 80 C. 86 D. 16 Explain your work

Algebra ->  Test -> SOLUTION: Six is subtracted from a number. The result is divided by four. This result is added to 10 to give 30. What is the number? A. 4 B. 80 C. 86 D. 16 Explain your work      Log On


   

Question 20995: Six is subtracted from a number. The result is divided by four. This result is added to 10 to give 30. What is the number?
A. 4
B. 80
C. 86
D. 16
Explain your work
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the number

Just translate the sentence into an equation:
10%2B+%28x-6%29%2F4=+30+

Let's begin by subtracting 10 from each side:
%28x-6%29%2F4=20

Multiply both sides by 4:
x-6+=+80
x=86

Check: Do what the sentence says to do!

Begin with x = the number = 86
Six is subtracted from a number: 86-6=80
Result is divided by four: 80/4= 20
This result is added to 10: 20 + 10 = 30
It checks!

R^2 at SCC