Question

Five hundred tickets were sold for a certain music concert. The tickets for the adults and children sold for $7.50 and $4.00, respectively, and the total receipts for the performance were $3,312.50. How many of each kind of ticket were sold?
The expression could be
7.50x+4.00y=3,312.50

Answer 1

find the answer

Answer 2

show me how to solve please

Answer 3

x + y = 500 ---> x = 500 - y
7.50x + 4y = 3312.50

7.50(500 - y) + 4y = 3312.50
3750 - 7.50y + 4y = 3312.50 -- subtract 3750 from both sides
-7.50y + 4y = 3312.50 - 3750 -- combine like terms
-3.50y = - 437.50 -- divide both sides by -3.50
y = 437.50/3.50
y = 125

x + y = 500
x + 125 = 500
x = 500 - 125
x = 375

check..
7.5(375) + 4(125) = 3312.50
2812.50 + 500 = 3312.50
3312.50 = 3312.50 (correct)

adult tickets (x) sole were 375
child tickets (y) sold were 125

Answer 4

THANKS SO MUCH!

Answer 5

no problem...sorry it took so long...I messed up and had to start again, but I finally got it :)

Answer 6

:D