AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.This morning, Cameron processed two catering orders at the sandwich shop where he works. The first order was for trays of club sandwiches and trays of vegetarian sandwiches, at a cost of . The second order, which cost , was for trays of club sandwiches and trays of vegetarian sandwiches. How much do the trays cost?A tray of club sandwiches costs _____, and a tray of vegetarian sandwiches costs _____.
Full solution
Q. Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.This morning, Cameron processed two catering orders at the sandwich shop where he works. The first order was for trays of club sandwiches and trays of vegetarian sandwiches, at a cost of . The second order, which cost , was for trays of club sandwiches and trays of vegetarian sandwiches. How much do the trays cost?A tray of club sandwiches costs _____, and a tray of vegetarian sandwiches costs _____.
- Define Cost Equations: Let's denote the cost of a tray of club sandwiches as dollars and the cost of a tray of vegetarian sandwiches as dollars. The first order's cost equation can be written as:
- Form System of Equations: The second order's cost equation can be written as:
- Eliminate Variable : We now have a system of equations to solve:To solve the system, we can subtract the second equation from the first to eliminate .
- Substitute and Solve for y: Now that we have the value of , we can substitute it back into one of the original equations to solve for . Let's use the second equation:
