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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?

possible answers:
a.) 7.50$
b.) 9.50$
c.) 10.50$
d.) 15.00$

Respuesta :

Given

jacinta buys 4 pounds of turkey and 2 pounds of ham & pays a total of $30, turkey costs $1.50 less per pound than the ham.

find out the combined cost of 1 pound of turkey and 1 pound of ham

To proof

As given in the question

jacinta buys 4 pounds of turkey and 2 pounds of ham

total pay by jacinta = $30

let us assume that the price of the ham = x

as given in the question

turkey costs $1.50 less per pound than the ham

turkey costs becomes = x - 1.50

then the equation becomes

30 = 4 (x - 1.50) + 2x

30 = 4x + 2x - 6

36 = 6x

x = 6

thus

ham cost per pound = $6

turkey cost per pound = 6 - 1.50

                                    = $ 4.5

Now find out

cost of 1 pound of turkey + 1 pound of ham = $ 6 + $ 4.5

                                                                       = $ 10.5

Hence proved

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

  • Let the cost of ham = x
  • The cost of turkey will be: x - 1.50

Based on the information given, the equation will be:

4(x - 1.50) + 2x = 30

4x - 6 + 2x = 30

6x - 6 = 30

6x = 30 + 6

6x = 36

x = 36/6

x = 6

Therefore, the cost of turkey will be:

= 6 - 1.50 = 4.50

Therefore, the combined cost of 1 pound of turkey and 1 pound of ham will be:

= $6.00 + $4.50

= $10.50

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