# Answer to Question #22876 in Algebra for Jennifer Smith

Question #22876

The local grocery store offers two varieties of salami at the deli counter. The price per pound of the second, more expensive, salami is $3 more than twice the price per pound of the first variety. If Lisa buys 2 pounds of each type of salami and her total price is $29.94, find the price per pound for each variety of salami.

Expert's answer

x - more expensive sausage

y - other sausage

1. Lisa buys 2 pounds of each type of salamiand her total price is $29.94, so 2x+2y=29.94

2. The price per pound of the second, more expensive, salami is $3 more

than twice the price per pound of the first, so x=2y+3

Se we get a system of equations

2x+2y=29.94

x=2y+3

solving it we obtain

x=10.98$

y=3.99$

y - other sausage

1. Lisa buys 2 pounds of each type of salamiand her total price is $29.94, so 2x+2y=29.94

2. The price per pound of the second, more expensive, salami is $3 more

than twice the price per pound of the first, so x=2y+3

Se we get a system of equations

2x+2y=29.94

x=2y+3

solving it we obtain

x=10.98$

y=3.99$

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