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solve x+y=50 10x +15y=650 need to check if doing right

two groups attended seniors x and regulars y . If seniors paid $10 per ticket and regulars $15 per ticket and the total gate receipt was $650.  word problem set up with two equations in two unknowns using x and y

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Betsy S. | Mathematics TutorMathematics Tutor
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Hi Lila,
 
x=seniors
y=regulars
 
x paid $10
y paid $15
 
The first equation is for the number of tickets sold and the second one will deal with the prices.
 
------------------
 
equation 1
 
x+y=50
 
We know that between seniors and regulars 50 tickets were sold
 
 
equation 2
 
10x+15y=650
 
The amount of each ticket sold multiplied by their cost will equal the total gate receipt amount.