PLEASE HELP IM FAILING Jancita 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 ham. What would be the combined cost of 1 pound of turkey and 1 pound of ham.
Accepted Solution
A:
Answer:The combined cost of 1 pound of turkey and 1 pound of ham is $10.50Step-by-step explanation:Consider the provided information.Let x represents the cost of turkey (per pound)Let y represents the cost of ham (per pound)4 pounds of turkey and 2 pounds of ham. She pays a total of 30$[tex]4x + 2y = 30[/tex]The turkey costs 1.50$ less per pound than ham.[tex]x = y - 1.5[/tex]
Substitute the value of x in [tex]4x + 2y = 30[/tex][tex]4(y-1.5) + 2y = 30[/tex][tex]4y-6+ 2y = 30[/tex][tex]6y-6= 30[/tex][tex]6y=36[/tex][tex]y=6[/tex]Now substitute the value of x in [tex]x = y - 1.5[/tex]
[tex]x = 6 - 1.5[/tex]
[tex]x =4.5[/tex]
Hence, the cost of 1 pound of turkey is $4.50 and 1 pound of ham costs $6.00
.Therefore the cost of 1 pound each is:$4.50+$6=$10.50The combined cost of 1 pound of turkey and 1 pound of ham is $10.50