A theater sells adult tickets and student tickets. A total of 165 tickets are sold and the ratio of adult tickets sold to student tickets sold is 8 to 7. How many of each type of ticket are sold?

88 adult tickets and 77 student tickets were sold.

Step-by-step explanation:

Let the number of adult tickets sold be 8x and the number of student tickets sold be 7x.

adult tickets + student tickets = 165 tickets

8x + 7x = 165

15x = 165

x = 165 ÷ 15

  = 11

No. of adult tickets sold (8x) = 11 × 8

                                               = 88

No. of student tickets sold (7x) = 11 × 7

                                                   = 77

Step-by-step explanation:

first divide 165 and 15 ( 8 + 7 )

165 / 15 = 11 tickets per 1 part of the ratio (if that makes sense)

then just multiply 11 times both parts of the ratio

8 x 11 = 88 adult tickets

7 x 11 = 77 student tickets

check your answer by add the tickets together if you get 165 your answer was correct

88 + 77  = 165

hope this helps <3

i can answer this question sweetie!

step-by-step explanation:

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.