'I decided to add 8.6 to my number then multiply the result by 3, After that I subtracted 1.9 then doubled the result. The answer is 59.2'
What number was Savannah first thinking of?

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Answer: The number Savannah was first thinking of is 10.

Step-by-step explanation: To find the original number Savannah was thinking of, we can work backwards through the operations she performed.

The final result is 59.2, and the last operation was to double the result. So we divide 59.2 by 2 to get 29.6.

The next operation was to subtract 1.9 from the previous result, so we add 1.9 to 29.6 to get 31.5.

The next operation was to multiply the result by 3, so we divide 31.5 by 3 to get 10.5

The initial operation was adding 8.6 to the original number, so we subtract 8.6 from 10.5 to get 1.9 which is Savannah's first number.

Answer:

  • The number was 1.9

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Let the number be x.

Set up equation to reflect all the operations:

  • ((x + 8.6)*3 - 1.9)*2 = 59.2

Solve it in below steps:

  • ((x + 8.6)*3 - 1.9)*2 = 59.2
  • (x + 8.6)*3 - 1.9 = 59.2/2
  • (x + 8.6)*3 - 1.9 = 29.6
  • (x + 8.6)*3 = 29.6 + 1.9
  • (x + 8.6)*3 = 31.5
  • x + 8.6 = 31.5/3
  • x + 8.6 = 10.5
  • x = 10.5 - 8.6
  • x = 1.9