Question

Eight burgers and three orders of fries cost $79.49. Six orders of fries and twelve burgers cost $125.82.Find the price of one burger and one order of fries .

Answer 1

• Burgers - $8.29 and fries - $4.39

Explanation:

Let burgers - b, fries - f

• 8b + 3f = 79.49
• 12b + 6f = 125.82

Double the first equation and subtract the second equation:

• 16b + 6f - 12b - 6f = 2(79.49) - 125.82
• 4b = 33.16
• b = 33.16/4
• b = 8.29

Find f:

• 8(8.29) + 3f = 79.49
• 3f = 79.49 - 66.32
• 3f = 13.17
• f = 13.17/3
• f = 4.39