When 70 is added to 70% of a number, then the obtained number is equal to 70%…

2022

When 70 is added to 70% of a number, then the obtained number is equal to 70% of 150. Find the number.

Answer: B. 50Solution: Let the number be x. Write the equation: 70% of x plus 70 equals 70% of 150, i.e. 0.7x + 70 = 105. Subtract 70 from both sides: 0.7x = 35. Divide by…

  1. A.

    35

  2. B.

    50

  3. C.

    70

  4. D.

    100

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Correct answer: B

Solution: Let the number be x.

  • Write the equation: 70% of x plus 70 equals 70% of 150, i.e. 0.7x + 70 = 105.

  • Subtract 70 from both sides: 0.7x = 35.

  • Divide by 0.7: x = 35 / 0.7 = 50.

Check: 70% of 50 = 35; 35 + 70 = 105, which equals 70% of 150. Therefore the number is 50.

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