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.
- A.
35
- B.
50
- C.
70
- D.
100
Attempted by 61 students.
Show answer & explanation
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.