SOLUTION: If the quotient of three times a number and five is increased by four, the result is 34. Find the number A number increased by 5 is 2 times the number. Find the number

Algebra ->  Equations -> SOLUTION: If the quotient of three times a number and five is increased by four, the result is 34. Find the number A number increased by 5 is 2 times the number. Find the number       Log On


   

Question 71473: If the quotient of three times a number and five is increased by four, the result is 34. Find the number


A number increased by 5 is 2 times the number. Find the number
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=the number
Then 3x%2F5= quotient of three times the number and 5
And%283x%2F5%29%2B4=quotient increased by 4 and we are told that this equals 34:
%283x%2F5%29%2B4=34 multiply each term by 5
%28%283x%2F5%29%285%29%29%2B4%2A5=34%2A5 simplify
3x%2B20=170 subtract 20 from both sides
3x%2B20-20=170-20 collect like terms
3x=150 divide both sides by 3
x=50---------------ans
CK
%28150%2F5%29%2B4=34
30%2B4=34
34=34
Hope this helps----ptaylor