Question

Write and solve the system of equations

Answer 1

The cost per pound of the sausage and brisket are $3.75 and $4.5 respectively

Let

s = cost per sausage

b = cost per brisket

Therefore,

Rusty order(cost):

• 2s + 3b = 21

Marta orders(cost):

• 10s + 14b = 100.50

Lets combine the equation to find cost per pound of the sausage and brisket.

2s + 3b = 21

10s + 14b = 100.50

Multiply equation(i) by 5

10s + 15b = 105

10s + 14b = 100.50

subtract equation(ii) from the new equation

b = 4.5

2s + 3(4.5) = 21

2s  = 21 - 13.5

2s = 7.5

s = 7.5 / 2

s = 3.75

Therefore, the cost per pound of the sausage and brisket are $3.75 and $4.5 respectively.

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