SOLUTION: need some help with this question please. a stadium has two sections A and B . Tickets for section A cost $a and tickets for section B cost cost $b. johana piad $105 for 5

Question 357186: need some help with this question please.

a stadium has two sections A and B . Tickets for section A cost $a and tickets for section B cost cost $b.
johana piad $105 for 5 section A tickets and 3 section B tickets. raiyah paid $63 for 4 section A tickets and 1 section B ticket
i)write two equations in a and b to represent the information above.
ii) calculate the values of a and b.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Tickets for section A cost $a and tickets for section B cost cost $b.
johana piad $105 for 5 section A tickets and 3 section B tickets. raiyah paid $63 for 4 section A tickets and 1 section B ticket
i)write two equations in a and b to represent the information above.
Value Eq:::: 5a + 3b = 105 dollars
Value Eq:::: 4a + b = 63 dollars
--------------------
ii) calculate the values of a and b.
Modify the equations:
Multiply thru the 1st equation by 4.
Multiply thru the 2nd equation by 5.
20a + 12b = 4*105
20a + 5b = 5*63
------------------------
Subtract the lower from the upper equation:
7b = 105
b = 17 (price of section B tickets)
----
Substitute and solve for "a":
4a + 17 = 63
4a = 46
a = 11.50 (price of section A tickets)
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Cheers,
Stan H.

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