Question

Gerard bought 9 hamburgers and 3 orders of fries for 24.75. Chris bought 6 hamburgers and 4 orders of fries for 19.50. Each hamburger cost the same amount. Each Order of fries cost the same amount. Wrote a system of equations that can be used to find how much one hamburger and one Order of fries cost.

Answer 1

9 hamburgers and 3 fries for 24.75 and 6 hamburgers and 4 fries for 19.50 can be represented by 9h + 3f = 24.75 and 6h + 4f = 19.5 Multiply by 4 36h + 12f = 99 and multiply by -3 -18h -12f = -58.5 12f and -12f cancel each other out 36h - 18h = 99 -58.5 18h = 40.5 h = 2.25 hamburgers cost 2.25 9h + 3f = 24.75 9(2.25) + 3f = 24.75 3f = 24.75 - 20.25 = 4.50 f = 150 fries cost 1.50 One hamburger and one fries can be represented by : h + f 2.25 + 150 = 3.75