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 hamb
urger 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.
<span>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</span>
