Final answer:
To find the cost of one blanket and one food tray, set up and solve a system of linear equations based on the purchases made on the two days by Dorothy Vaughan and Mary Jackson.
Step-by-step explanation:
The question pertains to solving a system of linear equations with two variables, representing the costs of blankets and food trays. We have two equations based on the given purchases:
- Dorothy Vaughan: 3B + 9T = $75
- Mary Jackson: 8B + 5T = $67
To solve for B (the price of one blanket) and T (the price of one food tray), we can use either substitution or elimination methods. For simplicity, let's use the elimination method:
- Multiply the first equation by 8 and the second equation by 3 to align the coefficient of B.
- Subtract the two new equations to eliminate B and solve for T.
- Substitute T back into one of the original equations to solve for B.
By following these steps, the student will calculate the individual prices for a blanket and a food tray, which represents the solution to this problem.