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

Question

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

Answer 1

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.

 

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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.