Let x equal the # of child tickets
Let y equal the # of adult tickets
x + y = 84
3x + 5y = 360
Solve and state the answer. Use the substitution method to solve this system. Solve the first equation for x.
x + y = 84
x = 84 - y
Now substitute the resulting expression into the other equation and solve for y.
3( 84 - y ) + 5y = 360
252 - 3y + 5y = 360
Combine like terms
252 + 2y = 360
Subtract 252 from both sides
2y = 108
Divide by 2 on both sides
y = 54
Substitute the value of y into the equation that we solved for x, x = 84 - y
x = 84 - 54
x = 30
Therefore the answer should be, 30 childrens tickets sold and 54 adult tickets sold.
