Joy organised a large wedding. Guests had to choose their meal from beef, chicken or vegetarian. 1/3 of the guests chose beef 5/12 of the guests chose chicken 69 of the guests chose vegetarian How many guests were at the wedding?
Accepted Solution
Answer: 276 guests were at the wedding.Step-by-step explanation:Let x represent the number of guests that were at the wedding.The guests had to choose their meal from beef,chicken or vegetarian.1/3 of the guests chose beef. This means that the number of guests that chose beef is x/3.If 5/12 of the guests chose chicken, it means that the number of guests that chose chicken is 5x/12. The total number of guests that chose beef and chicken is x/3 + 5x/12 = 9x/12The number of guests that chose vegetarian is x - 9x/12 = 3x/1269 of the guests chose vegetarian. This means that 3x/12 = 693x = 12 × 69 = 828x = 828/3x = 276 guests