There are 450 seats in the lower level of a concert hall with b balcony seats in upper level so far 170 tickets have been sold which Is 1/5 of the total number of seat in concert hall how many tickets sold are balcony seats
Accepted Solution
A:
There are 400 balcony seats.
Let b be the number of balcony seats.Β There are 450 lower seats; this makes the total number of seats 450+b.Β We know that there were 170 tickets sold, and that this is 1/5 the total number of seats; therefore our equation is 1/5(450+b)=170
Use the distributive property with the 1/5: 1/5*450 + 1/5*b = 170 90 + 1/5b = 170
Subtract 90 from both sides: 90 + 1/5b - 90 = 170 - 90 1/5b = 80
We can also write 1/5b as b/5: b/5 = 80
Multiply both sides by 5: (b/5) * 5 = 80 * 5 b = 400