A stadium has two sections a and b
Tickets for section a cost $a each
Tickets for section b cost $b each
Johanna paid $105 for 5 section a tickets and 3 sections tickets.
Raiyah paid $63 for 4 section a tickets and 1 section b ticket
Write two equations in a and b to represent the information above
Calculate the value of a and b
Let "a" represent the cost of a ticket in section A, and let "b" represent the cost of a ticket in section B.
The first equation can be written as: 5a + 3b = 105
The second equation can be written as: 4a + 1b = 63
To solve for the values of "a" and "b", we can use the method of substitution or elimination. Let's use the method of substitution.
From the second equation, we can solve for b in terms of a:
b = 63 - 4a
Substitute this expression for b into the first equation:
5a + 3(63 - 4a) = 105
5a + 189 - 12a = 105
-7a + 189 = 105
-7a = -84
a = 12
Substitute the value of a back into the second equation to solve for b:
4(12) + b = 63
48 + b = 63
b = 15
Therefore, a = 12 and b = 15.