Adult tickets to a carnival cost $11. Tickets for children cost $7.50. Tickets for a group of 14 people cost a total of $119. How many adults and how many children were in the group?

The answer to your question is 10 children and 4 adults

Step-by-step explanation:

Data

Adult cost = a = $11

Children cost = c= $7.50

Total people = 14

Total cost = $119

Number of adults and children = ?

Process

1.- Write two equations to solve this problem

               a + c = 14             l

              11a + 7.5c = 119     ll

2.- Solve the equations by elimination

Multiply equation I by -11              

            - 11 a - 11c = -154

               11a + 7.5c = 119

                 0  -3.5c = -35

                            c = -35/-3.5

                            c = 10

3.- Find a

                 a + 10 = 14

                 a = 14 - 10

                 a = 4

4.- Conclusion

The group bought 4 tickets for adults and 10 tickets for children.        

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it