A museum charges $14.50 for a one-day youth admission and $18.50 for a one-day adult admission. One Friday, the museum collected $1702 from a total of 108 youths and adults. How many admissions of each type were sold?

74 youth tickets and 34 adult tickets were sold.

Step-by-step explanation:

Let x represent the number of one-day youth admission tickets sold.

Let y represent the number of one-day adult admission tickets sold.

The total number of youths and adults tickets sold is 108. It means that

x + y = 108

The museum charges $14.50 for a one-day youth admission and $18.50 for a one-day adult admission. One Friday, the museum collected $1702 in total. This means that

14.5x + 18.5y = 1702- - - - - - - - - 1

Substituting x = 108 - y into equation 1, it becomes

14.5(108 - y) + 18.5y = 1702

1566 - 14.5y + 18.5y = 1702

- 14.5y + 18.5y = 1702 - 1566

- 4y = - 136

y = - 136/ - 4

y = 34

x = 108 - 34

x = 74

correct

step-by-step explanation:

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.