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? a. 30 c. 12 b. 15 d. 3

12

Step-by-step explanation:

Let n = number

Add 7

n+7

Multiply by 4

4(n+7)

Subtract 6

4(n+7) -6

Then divide by 2

(4(n+7)-6)/2

This is equal to 35

(4(n+7)-6)/2 =35

Multiply each side by 2

(4(n+7)-6)/2  *2=35*2

(4(n+7)-6) =70

Add 6 to each side

4(n+7)-6+6 =70+6

4(n+7) = 76

Divide each side by 4

4(n+7)/4 = 76/4

n+7 =19

Subtract 7 from each side

n+7-7 =19-7

n = 12

the infinity sign

step-by-step explanation: