10. riley surveyed 50 of his classmates about their favorite meal from the cafeteria. the results are shown…

10. riley surveyed 50 of his classmates about their favorite meal from the cafeteria. the results are shown. 12 students said pizza is their favorite meal. 7 students said tacos are their favorite meal. 17 students said hamburgers are their favorite meal. 14 students said chicken tenders are their favorite meal. based on the survey results, determine how many of the 300 students in school chose pizza or hamburgers as their favorite meal.

10. riley surveyed 50 of his classmates about their favorite meal from the cafeteria. the results are shown. 12 students said pizza is their favorite meal. 7 students said tacos are their favorite meal. 17 students said hamburgers are their favorite meal. 14 students said chicken tenders are their favorite meal. based on the survey results, determine how many of the 300 students in school chose pizza or hamburgers as their favorite meal.

Answer

Explanation:

Step1: Calculate number of students who like pizza or hamburgers in the survey

Add number of pizza - liking and hamburger - liking students in the survey: $12 + 17=29$

Step2: Set up proportion

Let $x$ be the number of students in the school who like pizza or hamburgers. The proportion is $\frac{29}{50}=\frac{x}{300}$

Step3: Solve the proportion

Cross - multiply: $50x = 29\times300$. Then $x=\frac{29\times300}{50}=29\times6 = 174$

Answer:

174