Multiple choice

What approximate value will come in place of the question mark (?) in the following equation? 17% of 1152 + 9% of 1684 = ?% of 400 + 83.4

  1. 22

  2. 55

  3. 67

  4. 82

  5. 98

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

0.17 * 1152 + 0.09 * 1684 = 195.84 + 151.56 = 347.4. Equation: 347.4 = x/100 * 400 + 83.4 => 264 = 4x => x = 66. Closest option is 67.

AI explanation

Using approximation, calculate 17 percent of 1150 as 195.5 and 9 percent of 1684 as 151.56, adding them to get 347.06. The equation becomes 347.06 equals question mark percent of 400 plus 83.4, so question mark percent of 400 equals 263.66. Dividing 263.66 by 4 gives 65.915, making the closest approximate answer 67.