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If 2/5th of a number is 6 more than ½ the number, then what is the number?a.-20b.20c.-60d.60

Question

If 25 \frac{2}{5} th of a number is 6 more than 12 \frac{1}{2} the number, then what is the number?

a. -20
b. 20
c. -60
d. 60

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Solution

Let's solve this step by step:

  1. Let's assume the number is x.

  2. According to the problem, 2/5th of the number is 6 more than 1/2 of the number. We can write this as an equation: 2/5x = 1/2x + 6

  3. To solve for x, we first need to get rid of the fractions. We can do this by multiplying every term by 10: 4x = 5x + 60

  4. Next, we subtract 5x from both sides of the equation: -x = 60

  5. Finally, we multiply both sides by -1 to solve for x: x = -60

So, the number is -60. The correct answer is c. -60.

This problem has been solved

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