Question 1164263: Three types of ticketts for a concert, type A at £75, type B at £55 and type C at £30. There are three times as many of type B sold compared to type A. In total 23000 tickets are sold making revenue of £870,000. How many of each type ticket are sold.
Im presuming A=3B in any equation.
Answer by ikleyn(52780)   (Show Source):
You can put this solution on YOUR website! .
Let x be the number of the A-type tickets.
Then the number of the B-type tickets is 3x, as stated.
Finally, the number of the C-type tickets is (23000 - x - 3x) = (23000-4x).
Then the money equation (=the revenue equation) is
75x + 55*(3x) + 30*(23000-4x) = 870000.
Thus I reduced the original problem to one single equation in one unknown.
I leave it to you to solve it.
When you find x from the equation, you will be in position to answer the problem's question.
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At this point, I completed my instructions.
The rest is on you.
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The major lesson for you from my post is to learn HOW I reduced the original problem to a single equation in one unknown.
At this point, I open to accept your "DEEPEST THANKS" for my teaching, and I expect to get it SOON.
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