Question

21.)

A rock concert brought in $432,500 on the sale of 9,500 tickets. If the tickets sold for
$35 and $55 each, how many of each type of ticket were sold?

Answer 1

Explanation:

a+b=9500 equation 1

35a+55b=432500 equation 2

a=9500-b modified equation 1 to isolate a

35(9500-b)+55b=432500 substitute value of a in equ 1 into value of a equ 2

332500-35b+55b=432500

20b=100000

b=5000

solve for a

a + b=9500

a + 5000=9500

a=4500

check answer:

35a+55b=432500

35(4500)+55(5000)=432500

157500+275000=432500

432500=432500