At a banquet, every 2 people shared a cake, every 6 people shared a bowl of soup, and every 8 people shared a platter of fruit. There were a total of 38 items. How many people were present at the banquet ?
Show answer & explanation
Correct answer: D
Explanation
Let the number of people be x.
Total dishes = x/2 + x/6 + x/8
x/2 + x/6 + x/8 = 38
12x + 4x + 3x = 38 × 24
19x = 912
x = 48