Answer to Question #22876 in Algebra for Jennifer Smith

Question

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.

Answer 1

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$