Total money that Marcy possess = $ 150
Cost of one hot dog= $ 6
Cost of one Hamburger = $ 20
If Marcy buys only Hamburger having cost b , then
b = [tex]\frac{150}{20}=7.50[/tex]= 7 Hamburger
If Marcy buys only Hotdogs having cost d , then
d = [tex]\frac{150}{6}=25[/tex]
And if Marcy buys both Hamburger and Hot dogs both, then
6 d + 20 b ≤ 150 ,b>0, d>0
3 d + 10 b≤ 75, b= Burger,→ X axis, d = Hot Dogs , →→Y axis
Plotting it on two dimensional plane
The positive integral value of x and y are the solution of the equation represented by : 3 y +10 x =75, for example y= 15 hamburger, and x =3 hot dog, is one solution of this line which is representation of burger and hot dog.
