Jacinta buys 4 pounds of turkey and 2 pounds of ham. She pays a total of $30, and the turkey costs $1.50 less per pound than the ham. What would be the combined cost of 1 pound of turkey and 1 pound of ham?

Letx-------> the cost of turkey per poundy-------> the cost of ham per poundStep [tex]1[/tex]Find the values of x and ywe know that[tex]4x+2y=30[/tex] --------> equation [tex]1[/tex][tex]x=y-1.50[/tex] --------> equation [tex]2[/tex]substitute equation [tex]2[/tex] in equation [tex]1[/tex][tex]4*[y-1.50]+2y=30[/tex] [tex]6y-6=30[/tex] [tex]6y=36[/tex] [tex]y=\$6[/tex] per poundFind the value of x[tex]x=6-1.50=\$4.50[/tex] per poundStep [tex]2[/tex]Find the combined cost of [tex]1[/tex] pound of turkey and [tex]1[/tex] pound of ham[tex]1*x+1*y=\$4.50+\$6=\$10.50[/tex]thereforethe answer is[tex]\$10.50[/tex]