Question

a group of 8 people went to the movies. tickets are $6 each for adults and $3 each for kids. together they pay $33 for the tickets. there are _______ adults in that group and _______ kids. can someone explain how to solve this in words for an essay.

Answer 1

Number of kids is 5 and number of adults is 3.

Step-by-step explanation:

• Step 1: Let the number of adults be x. Then the number of kids is (8-x). Cost of tickets for adults = 6x

       Cost of tickets for kids = 3(8-x) = 24 - 3x

       Total cost = 33 = 6x + 24 - 3x = 3x + 24

⇒ 3x = 9

∴ x = 3

⇒ 8 - x = 8 - 3 = 5

∴ Number of kids is 5 and number of adults is 3.