Final answer:
To find out how many $10 tickets were sold, we need to set up equations based on the given information and solve them to find the value of x.
Step-by-step explanation:
To find out how many $10 tickets were sold, we need to set up equations based on the given information. Let's say the number of $10 tickets sold is x, the number of $15 tickets sold is 4x, and the number of $20 tickets sold is y. We know that the total number of tickets sold is 475:
x + 4x + y = 475
We also know that the total income from the concert was $6300:
10x + 15(4x) + 20y = 6300
Now we can solve these equations to find the value of x:
5x + 20x + y = 475
25x + y = 475
10x + 60x + 20y = 6300
70x + 20y = 6300
25x + y = 475
70x + 20y = 6300
From here, we can use substitution or elimination method to solve for x and y. Once we find the value of x, we will know how many $10 tickets were sold.