Question

The owner of a food truck compared the sales of tacos and quesadillas on two consecutive nights. On the first night, 60 tacos and 50 quesadillas were sold, totaling $427.50 in sales. On the second night, 90 tacos and 60 quesadillas were sold, totaling $562.50 in sales. How much did the owner charge for each taco and each quesadilla? Enter the correct answers in the boxes.

a) Taco: $3.50, Quesadilla: $4.50
b) Taco: $2.50, Quesadilla: $3.50
c) Taco: $4.00, Quesadilla: $5.00
d) Taco: $5.00, Quesadilla: $6.00

Answer 1

To find the price of each taco and each quesadilla, set up a system of equations and solve for the prices.

Step-by-step explanation:

To find the price of each taco and each quesadilla, we can set up a system of equations. Let's say the price of a taco is 'x' and the price of a quesadilla is 'y'. From the given information, we have two equations:

60x + 50y = 427.50

90x + 60y = 562.50

To solve this system of equations, we can use the method of substitution or elimination. Solving this system, we find that the price of each taco is $3.50 and the price of each quesadilla is $4.50 (option a).