30) Jose and Pranav are selling pies for a school fundraiser Customers can buy apple pies and pumpkin pies. Jose sold 1 apple pie and 3 pumpkin pies for a total of 64 Pranav sold 9 apple pies and 4 pumpkin pies for a total of 162 The following system represents this scenario: x+3y=64 9x+4y=162 What does the solution (10,18) represent?

To determine what the solution $(10,18)$ represents, we need to substitute the values of $x$ and $y$ into the given system of equations and check if they satisfy both equations.<br /><br />Given system of equations:<br />$x + 3y = 64$<br />$9x + 4y = 162$<br /><br />Substituting $(10,18)$ into the first equation:<br />$10 + 3(18) = 64$<br />$10 + 54 = 64$<br />$64 = 64$<br /><br />Substituting $(10,18)$ into the second equation:<br />$9(10) + 4(18) = 162$<br />$90 + 72 = 162$<br />$162 = 162$<br /><br />Since the solution $(10,18)$ satisfies both equations, it represents the number of apple pies and pumpkin pies sold by Jose and Pranav, respectively.<br /><br />Therefore, the solution $(10,18)$ represents that Jose sold 10 apple pies and 18 pumpkin pies, while Pranav sold 9 apple pies and 4 pumpkin pies.