Question 437255
Ann and Sean, paid $208 for concert tickets.
 They bought twice as many balcony tickets as floor tickets.
 Balcony tickets cost $15 each and floor cost $22 each.
 How many of each type of ticket did they purchase?
:
Let b = no. of balcony tickets
Let f = no. of floor tickets
:
Write an equation for each statement:
:
"Ann and Sean, paid $208 for concert tickets."
15b + 22f = 208
:
"They bought twice as many balcony tickets as floor tickets."
b = 2f
:
In the 1st equation, replace b with 2f
15(2f) + 22f = 208
30f + 22f = 208
52f = 208
f = {{{208/52}}}
f = 4 floor tickets
Then
b = 2(4)
b = 8 balcony tickets