Posted by harry on Friday, January 1, 2010 at 1:35pm.
The question as it is will allow you to formulate one equation which you did correctly.
It is normal that the question also tells you how many tickets have been sold in all. The total number of tickets sold should range between 289 to 460. This way, you can formulate a second equation of the form
a+c=N where 289≤N≤460
If this information is not given, there are many possible solutions.
forgot to write it, the school sells 370 tickets
So the second equation would be
a + c = 370 ....(2)
and the first equation is as you had it:
8a + 5c = 2300 ....(1)
You can solve it using substitution, namely, using (2),
a=370-c
and substitute a into equation (1) to get
8(370-c)+5c = 2300
Solve for c and subsequently for a.
Don't forget to put back your answers into equations (1) and (2) for a check.
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