Q:

There are 15 plates in a kitchen cabinet. The diameter if each plate is ethier 7 inches or 12 inches. The diameter of all 15 plates combined is 140 inches Which number of equation can be used to find the number of 7 inch plates,x, and the number of 12 inch plate,y, that are in the cabinet

Accepted Solution

A:
Answer: The equations that can be used to find the number of 7 inch plates,x, and the number of 12 inch plate,y, that are in the cabinet are x + y = 157x + 12y = 140Step-by-step explanation:The diameter of each plate is either 7 inches or 12 inches. Let x represent the number of 7 inches plateLet y represent the number of 12 inches plateThere are 15 plates in the kitchen cabinet. This means that the sum of the 7 inches plate and the 12 inches plate is 15. It is expressed asx + y = 15The diameter of all 15 plates combined is 140 inches. This means that7x + 12y = 140