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.
Accepted Solution
A:
9h + 3f = 24.75....multiply by 4 6h + 4f = 19.50 ...multiply by -3 ---------------------- 36h + 12f = 99 (result of multiplying by 4) -18h - 12f = - 58.50 (result of multiplying by -3) --------------------add 18h = 40.50 h = 40.50/18 h = 2.25 <== hamburgers cost 2.25 each
6h + 4f = 19.50 6(2.25) + 4f = 19.50 13.50 + 4f = 19.50 4f = 19.50 - 13.50 4f = 6 f = 6/4 f = 1.50 <== fries cost 1.50 per order