Question

the spring musical sold student tickets for $8 and adult tickets for $10. there were 130 tickets sold for a total of $1198. how many student tickets were sold?

Answer 1

Okay, so the equation can be written as:

where x is number of student tickets, and y is adult tickets


8x + 10y = 1198

x + y = 130

Lets solve for x,

x = 130-y

Put value of x in first equation:

8 (130-y) + 10y = 1198

1040 - 8y + 10y = 1198

1040 + 2y = 1198

2y = 158

y = 79

Since we have to find student tickets, we will write:

x + 79 = 130

x = 51

So 51 student tickets were sold.

Answer 2

x=number of student tickes
y=number of adult tickets

total cost=8x+10y=1198
x+y=130
multipy second eatuion by -10 and add to first

-10x-10y=-1300
8x+10y=1198 +
-2x+0y=-102

-2x=-102
divide both sides by -2
x=51

51 student tickets sold