Question

Maria is purchasing sandwiches for her team at work. Each sandwich costs $6.25 and there is a delivery fee of $15.00, all taxes included. She can only spend up to $170 on the team lunch. What is the largest number of sandwiches Maria can purchase for her team while staying within her budget?

Answer 1

Answer:

The maximum number of sandwiches she can buy is 24.

Step-by-step explanation:

We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:

$cost(x) = 15 + 6.25*x$

Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:

$cost(x) \leq 170\\15 + 6.25*x \leq 170\\6.25*x \leq 170 - 15\\x \leq \frac{155}{6.25}\\x \leq 24.8$

Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.