nathan ordered one cheeseburger and one bag of chips for $3.75. jack ordered two cheeseburgers and three bags of chips for $8.25

Cost of a bag of chips is $0.75

Cost of a cheeseburger is $3.

Step-by-step explanation:

[Step 1] Let the cost of a cheeseburger be x.

[Step 2] Let the cost of a bag of chips be y

[Step 3] As it is given that x + y = 3.75

[Step 4] It is also given that 2x + 3y = 8.25

[Step 5] Multiplying the equation in [Step 3] by 2 and we get 2x + 2y = 7.50

[Step 6] Subtracting the equation in [Step 5] from the equation in [Step 4] we get y = $0.75

[Step 7] Therefore the cost of a bag of chips is $0.75

[Step 8] Substituting the value of y found in [Step 7]  into [Step 8] we get x = 3.

[Step 9] Therefore the cost of a cheeseburger is $3.

Check

Chip = 0.75

Cheeseburger = 3.00

Nathan Ordered one cheeseburger and one bag of chips for $3.75.

3.00 + 0.75 = $3.75

Hence, Chip = 0.75 and Cheeseburger = 3.00 is correct.

Chip = 0.75

Cheeseburger = 3.00

Jack Ordered two cheeseburger and three bags of chips for $8.25.

2 Cheeseburger = 3.00x2 = 6.00

3 bags of chips = 0.75x3= 2.25

6.00+2.25=$8.25

Hence,  Chip = 0.75 and Cheeseburger = 3.00 is correct.