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500 people go to a concert, X paid €35 and the rest (Y) paid €45. Total receipts were 20,500. Find X

 Jan 22, 2015

Best Answer 

 #2
avatar+33665 
+5

For info:

€ =Euro

£ = pound

.

 Jan 22, 2015
 #1
avatar+130536 
+5

Let x be the number that paid 35 pounds and y be those that paid 45 pounds

So we have this system of equations

x + y = 500

35x + 45y = 20500

And using the first equation, we can rearrange it as y = 500 - x....and subbing this in for y in the second equation, we have

35x + 45(500 - x) = 20500   simplify

35x + 22500 - 45x = 20500  combine like terms on the left side

-10x + 22500 = 20500       subtract 22500 from each side

-10x = -2000    divide both sides by -10

x = 200.....and this is the number of people who paid 35 pounds

 

 Jan 22, 2015
 #2
avatar+33665 
+5
Best Answer

For info:

€ =Euro

£ = pound

.

Alan Jan 22, 2015
 #3
avatar+130536 
0

Oops...thanks, Alan...

 

 Jan 22, 2015

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