contestada

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?

Respuesta :

calculista

Let

x-------> the cost of turkey per pound

y-------> the cost of ham per pound

Step [tex]1[/tex]

Find the values of x and y

we 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 pound

Find the value of x

[tex]x=6-1.50=\$4.50[/tex] per pound

Step [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]

therefore

the answer is

[tex]\$10.50[/tex]

Otras preguntas