SOLUTION: John is thinking of a number. He multiplied this number by 2. Then he added 11 to the new number. Then he multiplied the new number by 4. Then he divided this new number by 10. His

Question 1012123: John is thinking of a number. He multiplied this number by 2. Then he added 11 to the new number. Then he multiplied the new number by 4. Then he divided this new number by 10. His final number was 10. What number did John start with? Solve algebraically

Found 2 solutions by ValorousDawn, MathLover1:
Answer by ValorousDawn(53) (Show Source): You can put this solution on YOUR website!
Lets say the starting number is x.
He multiplied this number by 2. We now have
He added 11. We know have
He multiplied the number by four, we get
He divided this number by 10. This gives
This equals 10, so we equate this.
Then we can solve.

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let the number be
first, step-by-step, write equation
1.John is thinking of a number:
2.He multiplied this number by :
3.Then he added to the new number:
4. Then he multiplied the new number by :
5. Then he divided this new number by :
6. His final number was :
now solve equation for

check our solution:

RELATED QUESTIONS
if 17 is added to the number im thinking of and then the sum is multiplied by 25, i get... (answered by Adebimpe)
A number added to 9. the result is then multiplied by 4 to get a new result of 120. What... (answered by checkley77)
a student was reqiured to multiply a number 2 and add 3 to it. He instead added 3 to its (answered by Cromlix)
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer... (answered by rfer)
A man spends in 3 months what he earns in 2 months. IF his savings his rs. 125 per month. (answered by nerdybill)
if 5 is added to twice a number and sum is multiplied by 2, then the result is the same... (answered by ankor@dixie-net.com)
When a number is multiplied by -8 and then added to -6; the result is 82. Find the... (answered by Tatiana_Stebko)
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer... (answered by Ashley_UConn)
A number is divided by 4. Then 2 is added to the quotient. Finally the sum is multiplied... (answered by ewatrrr)