Question

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.

Answer 1

Answer:

The combined cost of 1 pound of turkey and 1 pound of ham is $10.50

Step-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$

$4x + 2y = 30$

The turkey costs 1.50$ less per pound than ham.

$x = y - 1.5$

Substitute the value of x in $4x + 2y = 30$

$4(y-1.5) + 2y = 30$

$4y-6+ 2y = 30$

$6y-6= 30$

$6y=36$

$y=6$

Now substitute the value of x in $x = y - 1.5$

$x = 6 - 1.5$

$x =4.5$

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=$10.50

The combined cost of 1 pound of turkey and 1 pound of ham is $10.50

Answer 2

Answer: The combined cost is $10.50.

Step-by-step explanation:

Let the cost of 1 pound of ham be 'x'.

Let the cost of 1 pound of turkey be 'x-1.50'.

Number of pounds of hams purchased = 2

Number of pounds of turkey purchased = 4

Total amount paid = $30.

According to question, it becomes

$2x+4(x-1.50)=30\\\\2x+4x-6=30\\\\6x=30+6\\\\6x=36\\\\x=\dfrac{36}{6}\\\\x=6$

So, cost of 1 pound of turkey would be

$6-1.50=\ 4.50$

So, combined cost of 1 pound of turkey and 1 pound of ham is given by

$\ 6+\ 4.50=\ 10.50$

Hence, the combined cost is $10.50.