Question

There are 10 plates in a kitchen cabinet. The diameter of each plate is either 8 inches or 14 inches. The diameter of all 10 plates combined is 122 inches. Which system of equations can be used to find the number of 8-inch plates, x , and the number of 14-inch plates, y , that are in the cabinet? *

Answer 1

x + y = 10

8x + 14y = 122

Explanation:

Total number of plates = 10

Diameter of plates: Either 8 or 14 inches

Let:

x = 8 inch diameter plates

y = 14 inch diameter plate

Combined diameter = 122

8 inch diameter plate + 14 inch diameter plate = total number of plates

x + y = 10 - - - (1)

Combined or sum of the diameter:

(number of 8 inch diameter * 8) + (Number of 14 inch diameter * 14) = 122

8x + 14y = 122 - - - (2)