Question

Damasko asked Sophia to choose a number between 1 and 20. He told her to add 7 to that number, multiply by 4, subtract 6 and divide by 2.
Sophia’s final number was 35. What was her original number?

Answer 1

Call the unknown number x.
Add 7 to the number: x + 7
Multiply by 4: 4(x + 7)
Subtract 6: 4(x + 7) - 6
Divide by 2: [4(x + 7) - 6]/2
Result equals 35: [4(x + 7) - 6]/2 = 35

Solve the equation below for x:

\(\dfrac{4(x + 7) - 6}{2} = 35 \)

Answer 2

Okay, I'll try it.

Answer 3

Start by multiplying both sides by 35. That will get rid of the denominator on the left side.

Answer 4

Any luck?

Answer 5

no

Answer 6

I got 12

Answer 7

That is it. Good job!
To check, just do all the operations listed in the problem and make sure you get 35 as the result.

Answer 8

Okay, thanks!

Answer 9

wlcm