Answer is 275 adult tickets sold
and 216 student tickets sold
Step by step
We know
a (adult tickets) + s (student tickets) = 491
We know
a (adult tickets) minus 59 = s (student tickets)
Do our equations are
a + s = 491
a - 59 = s
Substitute the second equation “s” value into the first equation and solve
a + a - 59 = 491
Add 59 to both sides to isolate “s”
a + a -59 + 59 = 491 + 59
Combine like terms
2a .= 550
Divide both sides by 2 to solve for “a”
2/2 a = 550/2
a = 275
No we we can solve for “s” by substituting our “a” value into one of the equations.
a + s = 491
275 + s = 491
Subtract 275 from both sides to solve for “s”
275 - 275 + s .= 491 - 275
s = 216
Now we can check our work by substituting both values for “a” and “s” into the equation
a + s = 491
275 + 216 = 491
491 = 491
Problem solved!