A stadium has two sections

Tickets for section A cost $a each
Tickets for Section B cost $b each

Johanna paid $105 for 5 section A tickets and 3 section B tickets.
Raiyah Paid $63 for 4 section A tickets and 1 section B ticket

Write 2 equations in a and b to represent the info.
1)5a+3b=105
2)4a+b=63
Is this correct?
And how do i calculate the values of a and b?

2 answers

The equations are correct.

To solve, I would multiply both sides of the second equation by 3, then subtract equation 2 from 1. The b terms will have subtracted out.
5a +3b =105
- 12a + 3b =189
-7a = -84
; -84 รท -7 =12
a= 12
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