Agroup of 16 people bought tickets to a museum. they paid a total of $56. each adult ticket costs $4 and each child ticket costs $2. how many adult tickets and child tickets did they buy? a) 4 adult tickets, 12 child tickets b) 8 adult tickets, 8 child tickets c) 10 adult tickets, 6 child tickets d) 12 adult tickets, 4 child tickets

The correct answer is D. 12 adult tickets, 4 child tickets

Step-by-step explanation:

Number of people paying for a ticket to the museum = 16

Cost of adult ticket = US$ 4

Cost of child ticket = US$ 2

Total paid by the 16 people = US$ 56

Number of adults = x

Number of children = 16 - x

This is the equation to find out how many adults and how many children were in the group:

4x + 2 (16 - x) = 56 (Number of adults * cost of adult ticket plus Number of children * cost of children ticket equals to the total paid)

4x + 32 - 2x = 56

2x = 56 -32

2x = 24

x = 12 (Dividing by 2 at both sides of the equation)

12 adult tickets were bought, so 4 child tickets were also bought. Let's check it :

12 adult tickets cost US$ 48 and 4 child tickets cost US$ 8

48 + 8 = 56

168

step-by-step explanation:

i am pretty sure that the answer is 168