For the school concert band performance, student tickets cost $8 each and adult tickets cost $12 each. the sellers collected $3,200 from 300 tickets sold. how many adult tickets and student tickets were sold?
a. 100 adult tickets; 200 student ticketsb) 140 adult tickets; 160 student ticketsc) 160 adult tickets; 140 student ticketsd) 200 adult tickets; 100 student tickets

Respuesta :

The answer will be d.
If you multiply the 100 student tickets by the cost of 8 each, you will get 800. If you multiply 200 buy the cost of 12 each you will get 2400. 
2400+800=3200.
Have a nice day :D

Answer: The correct option is d) 200 adult tickets; 100 student tickets.

Step-by-step explanation:

Hi, to answer this question we have to multiply the quantity of adult tickets sold by $12 and the quantity of student tickets sold by $8, and finally add the results. We have to do this for each option.

a) (100 x $12 )+ (200x $8) = $1200 + $1600 = $2800 ≠ $3200

b) (140 x $12 )+ (160x $8) = $1680 + $1280 = $2960 ≠ $3200

c) (160 x $12 )+ (140x $8) = $1920 + $1120 = $2960 ≠ $3040

d) (200 x $12 )+ (100x $8) = $2400 + $800 = $3200 = $3200

The correct option is d) 200 adult tickets; 100 student tickets.