Aschool fair ticket costs $8 per adult and $1 per child. on a certain day, the total number of adults (a) and children (c) who went to the fair was 30, and the total money collected was $100.

which of the following options represents the number of children and the number of adults who attended the fair that day, and the pair of equations that can be solved to find the numbers?

20 children and 10 adults
equation 1: a + c = 30
equation 2: 8a + c = 100

10 children and 20 adults
equation 1: a + c = 30
equation 2: 8a − c = 100

10 children and 20 adults
equation 1: a + c = 30
equation 2: 8a + c = 100

20 children and 10 adults
equation 1: a + c = 30
equation 2: 8a − c = 100

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.