bettys beverages surveyed 50 of its customers on whether they prefer iced tea. the table shows some of the…

bettys beverages surveyed 50 of its customers on whether they prefer iced tea. the table shows some of the results. complete the table.\n| | iced tea | lemonade | total |\n|--|--|--|--|\n| child | 5 | | |\n| adult | | 15 | |\n| total | 24 | | 50 |

bettys beverages surveyed 50 of its customers on whether they prefer iced tea. the table shows some of the results. complete the table.\n| | iced tea | lemonade | total |\n|--|--|--|--|\n| child | 5 | | |\n| adult | | 15 | |\n| total | 24 | | 50 |

Answer

Explanation:

Step1: Find number of adults who prefer iced - tea

Since the total number of people who prefer iced - tea is 24 and 5 children prefer iced - tea, the number of adults who prefer iced - tea is $24 - 5=19$.

Step2: Find total number of children

Let the number of children who prefer lemonade be $x$ and the total number of children be $y$. Let the number of adults who prefer iced - tea be $a = 19$, the number of adults who prefer lemonade be $b = 15$, and the total number of people surveyed be 50. The total number of people who prefer iced - tea is 24. We know that the total number of people surveyed is 50. The total number of adults is $a + b=19 + 15 = 34$. So the total number of children $y=50-(19 + 15)=16$.

Step3: Find number of children who prefer lemonade

Since 5 children prefer iced - tea and the total number of children is 16, the number of children who prefer lemonade is $16 - 5 = 11$.

Step4: Find total number of people who prefer lemonade

The total number of people who prefer lemonade is the sum of children and adults who prefer lemonade, so it is $11+15 = 26$.

Step5: Find total number of adults

The total number of adults is the sum of adults who prefer iced - tea and adults who prefer lemonade, which is $19 + 15=34$.

Answer:

Iced Tea Lemonade Total
5 11 16
19 15 34
24 26 50