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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?$6

Respuesta :

absor201

The combined cost for 1 pound of turkey and 1 pound of ham is $10.5

Step-by-step explanation:

Let,

Turkey = x

Ham = y

According to given statement;

4x+2y=30    Eqn 1

x = y-1.50     Eqn 2

Putting value of x from Eqn 2 in Eqn 1

[tex]4(y-1.50)+2y=30\\4y-6+2y=30\\6y=30+6\\6y=36[/tex]

Dividing both sides by 6

[tex]\frac{6y}{6}=\frac{36}{6}\\y=6[/tex]

Putting y=6 in Eqn 2

[tex]x=6-1.50\\x=4.5[/tex]

1 turkey costs $4.5 and 1 ham costs $6.

Combined cost of 1 pound of turkey and ham each = 4.5+6=$10.5

The combined cost for 1 pound of turkey and 1 pound of ham is $10.5

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/2615542
  • brainly.com/question/2645523

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