124k views
3 votes
A stadium has two sections, A and B.

Tickets for Section A costs Sa each.
Tickets for Section B costs $b each.
John paid $105 for 5 Section A tickets and 3 Section B tickets. Rita paid $63 for 4 Section A
tickets and 1 Section B tickets.
ii)
Write 2 equations in a and b to represent the information above.
Calculate the cost of a Section A and Section B ticket using the Elimination / Addition
Method.


User Zdesam
by
5.1k points

1 Answer

3 votes
ANSWER: a=12 b=15
Explanation: (look at work below)

4a + 1b = 63 (eq1)
5a + 3b = 105 (eq2)
-12a + -3b = -189 (subt. eq1 from eq2)
————————-
-7a = -84
a = 12
4(12) + 1b = 63 (plug in the a value)
48 + 1b = 63
b = 15
User TechSeeko
by
4.3k points