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

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.