SOLUTION: 500 tickets were sold for a concert some at 40cents each and the remainder at 25 cents each. the money received for the more expensive tickets was $70 more than the cheaper tickets
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Question 806561: 500 tickets were sold for a concert some at 40cents each and the remainder at 25 cents each. the money received for the more expensive tickets was $70 more than the cheaper tickets. Find the number of the more expensive tickets which was sold.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
40 cents tickets --------------x numbers ------------- value =40x
25 cents tickets --------------y-----------------------value = 25x
x+y=500
40x-25y= 70 *100 cents
1 x + 1 y = 500 .............1
Total value
40 x -25 y = 7000 .............2
Eliminate y
multiply (1)by 25
Multiply (2) by 1
25 x 25 y = 12500
40 x -25 y = 7000
Add the two equations
65 x = 19500
/ 65
x = 300
plug value of x in (1)
1 x + 1 y = 500
300 + y = 500
y = 500 -300
y = 200
y = 200
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