178k views
9 votes
Tickets to games of a local basketball team cost $12 for students and $16 for adults. For one game, $3700 was collected and 250 tickets were sold. How many of each kind of ticket were sold? Write and solve a system of equations.

User Mhoareau
by
7.9k points

1 Answer

2 votes
Let x be the number of students tickets and y be the number of adult tickets,
equation 1. 12x + 16y = $3700
equation 2. x + y = 250
In equation 2, x= 250-y — equation 3
Put equation 3 into 1,
12(250-y) + 16y = $3700
3000 - 12y + 16y = $3700
4y = $700
y = 175
Sub y = $175 into equation 2
x + 175 = 250
x = 75
The number of students ticket sold is 75 and the number of adult ticket sold is 175.
User HichamELBSI
by
8.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.