Adam, Barry, and Charles visited a small farmers market last Saturday. Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pounds of potatoes. Barry bought 1 dozen eggs and 10 pounds of potatoes, while Charles purchased 2 dozen eggs and 2 pounds of potatoes. If Adam's bill was $38.25, Barry's $36.50 and Charles' $17.20, how much did a dozen eggs, a wheel of cheese and a pound of potatoes cost?

A pound of potato costs $3.10

A dozen egg costs $5.5

A wheel of cheese costs $6.25

Step-by-step explanation:

Represent

- a dozen egg with D

- a wheel of cheese with W

- a pound of potato with P

For Adam:

---- (1)

For Barry:

---- (2)

For Charles:

---- (3)

Make D the subject in (2)

Substitute 36.50 - 10P for D in (3)

Collect Like Terms

Solve for P

Substitute 3.1 for P in

Substitute 3.1 for P and 5.5 for D in

Solve for W

noncoplanar points are points that do not lie on the same line.