Question

art mr. santos, the curator of the children’s museum, recently made two purchases of firing clay and polymer clay for a visiting artist to sculpt. use the table to find the cost of each product per kilogram.

	firing clay (kg)	polymer clay (kg)	total cost
	25	8	$51.45

a. write a system of equations to find the cost of each product per kilogram. let x be the cost of each kilogram of firing clay and y be the cost of each kilogram of polymer clay.
__ x + __ y = 64.05
__ x + y = __
b. solve the system of equations to find the cost of each product per kilogram.
firing clay: $ ____ per kilogram
polymer clay: $ ____ per kilogram

Explanation:

Answer:

$5x + 24y = 64.05$
$25x + 8y = 51.45$
firing clay: $\$1.75$ per kilogram
polymer clay: $\$2.20$ per kilogram