High School

Mo is thinking of a number. Eleven more than one-third of this number is -1. Find Mo's number.

Answer :

Final answer:

First, we set up an equation based on the provided statement and let x represent the unknown number. We solve the equation and find that x = -36, which is the original number. Therefore, Mos number, which is 11 more than 1/3 of this number, is indeed -1.

Explanation:

Based on the information provided, we first need to set up an equation to represent the given statement. We know that the number Mo is thinking of is 11 more than 1/3 of another number, which totals to -1. Therefore, if we let x represent the unknown number, we can write the equation as: 1/3*x + 11 = -1.

Our task then is to solve for x. Subtracting eleven from both sides of the equation, we have 1/3*x = -12. In order to remove the fraction, multiply all terms by 3, to get x = -36.

This means that the original number was -36. Thus, Mos number that was 11 more than 1/3 of this number would be 1/3 * (-36) + 11, which is indeed -1.

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