Question

The Math Club operates a concession stand during special school events. A student can purchase acheeseburger and soda pop for $5.25. The cheeseburgers cost $.75 more than twice the price of a soda pop. Write a system of equations to model the price of a cheeseburger and the price of a soda pop.

Answer 1

To solve for the price of a cheeseburger (C) and soda pop (S), create a system of equations: C + S = 5.25 and C = 2S + 0.75. This system represents the cost relationships and can be solved to find the individual prices.

Step-by-step explanation:

To model the price of a cheeseburger and the price of a soda pop, we can establish a system of equations based on the information given:

1. A cheeseburger and a soda pop together cost $5.25.
2. The price of a cheeseburger is $.75 more than twice the price of a soda pop.

Using variables to represent the price of a cheeseburger (C) and a soda pop (S), we can write the following equations:

• C + S = 5.25
• C = 2S + 0.75

This system of equations can be used to solve for the individual prices of a cheeseburger and a soda pop.

To find opportunity cost, however, economists think about the trade-offs between goods. In other words, how much of one good must be given up to obtain more of another good within the constraints of a budget.