Answer:
16
Step-by-step explanation:
You want the number of medium pizzas sold for $11.95 if large pizzas were sold for $14.95 and total revenue from 35 pizzas was $475.25.
If m represents the number of medium pizzas sold, then (35 -m) is the number of large pizzas sold. The total revenue is ...
11.95m +14.95(35 -m) = 475.25
Simplifying this equation gives ...
-3m +523.25 = 475.25
-3m = -48 . . . . . . . . . . . . . subtract 523.25
m = 16 . . . . . . . . . . . divide by -3
The number of medium pizzas sold was 16.
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Additional comment
The attached calculator solution shows two equations in two variables being solved using an augmented matrix. Those equations use x for the number of large pizzas and y for the number of medium pizzas. The solution shows 19 large and 16 medium pizzas were sold.
The first equation gives the revenue; the second gives the total number of pizzas. For this, we have assigned variables in the order the products are mentioned in the problem statement. This helps reduce errors.
For the solution above, we chose the approach of assigning a single variable to the one bit of information asked for by the problem.
By setting up and solving a system of equations, it's determined that 19 medium pizzas were sold to reach a total of $475.25 in sales with a combination of large and medium pizzas totaling 35 sold.
To determine the number of medium pizzas sold, we can set up a system of equations based on the total cost of pizzas and the number of pizzas sold. We know that large pizzas cost $14.95 each and medium pizzas cost $11.95 each. The total money made was $475.25, and there was a total of 35 pizzas sold.
Let L represent the number of large pizzas sold, and M represent the number of medium pizzas sold. We can then write two equations based on the information provided:
1) L + M = 35 (Total number of pizzas sold)
2) 14.95L + 11.95M = 475.25 (Total revenue from pizza sales)
Now, we can solve this system of equations to find the value of M:
Upon solving, we find that the number of medium pizzas sold, M, equals 19. Therefore, 19 medium pizzas were sold.
