Question Richard bought 3 slices of cheese pizza and 2 sodas for 8.75 Jordan bought 2 slices of cheese pizza and 4 sodas for 8.50 How much would an order of 1 slice of cheese pizza and 3 sodas cost? 3.25 5.25 7.75 17.25

To solve this problem, we can set up a system of linear equations based on the given information.<br /><br />Let's denote the cost of 1 slice of cheese pizza as $x$ and the cost of 1 soda as $y$.<br /><br />From the given information, we can write the following equations:<br /><br />3x + 2y = 8.75 (Equation 1)<br />2x + 4y = 8.50 (Equation 2)<br /><br />Now, we need to solve this system of equations to find the values of $x$ and $y$.<br /><br />We can use the elimination method to solve this system.<br /><br />Multiplying Equation 1 by 2 and Equation 2 by 3, we get:<br /><br />6x + 4y = 17.50 (Equation 3)<br />6x + 12y = 25.50 (Equation 4)<br /><br />Subtracting Equation 3 from Equation 4, we get:<br /><br />8y = 8.00<br /><br />Dividing both sides by 8, we find:<br /><br />y = 1.00<br /><br />Now, we can substitute the value of $y$ into Equation 1 to find the value of $x$:<br /><br />3x + 2(1.00) = 8.75<br />3x + 2 = 8.75<br />3x = 6.75<br />x = 2.25<br /><br />So, the cost of 1 slice of cheese pizza is $2.25 and the cost of 1 soda is $1.00.<br /><br />Now, we can calculate the cost of an order of 1 slice of cheese pizza and 3 sodas:<br /><br />1x + 3y = 2.25 + 3(1.00) = 2.25 + 3.00 = 5.25<br /><br />Therefore, the correct answer is $\$ 5.25$.