Answer:
Let's set up some variables.
A = the number of adult tickets sold
K = the number of kid tickets sold
Ca = Cost of an adult ticket, which is $4.50
Ck = Cost of a kid's ticket, which is $3.00
We know 70 tickets were sold, so:
A + K = 70.
We also know that $285 in ticket sales were sold. This tells us the cost of each ticket times the number of each ticket sold should total up to 285:
Ca*A + Ck*K = 285
4.50*A + 3.00*K = 285
Now we have two equations, two unknowns.
A + K = 70
4.50A + 3.00K = 285
Let's solve for K:
K = 70 - A
4.50A + 3.00(70-A) = 285
4.50A + 210 - 3.00A = 285
1.50A = 75
A = 50
K = 70 - 50 = 20
This means 50 adult tickets were sold and 20 kid tickets were sold. Let's check our work:
50*4.50 + 20*3.00 should be 285.
225 + 60 = 285. Check.
50 adult tickets + 20 kid tickets should be 70 total tickets.
50 + 20 = 70. Checkmate.
Hope this helps.
Explanation: