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 is $10.50.

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=(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.

Answer 2

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

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