Question
There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7 inches or 12 inches. The diameter of all 15 plates combined is 140 inches.
Which system of equations can be used to find the number of 7-inch plates, , and the number of 12-inch plates,x, that are in the cabinet?
A. x + y =140, 12x + 7y =15
B. 7x + 12y = 140, 7x + 12y = 15
C. x + y =15, 7x + 12y = 140
D. x + y = 15, 12x + 7y = 140
Which system of equations can be used to find the number of 7-inch plates, , and the number of 12-inch plates,x, that are in the cabinet?
A. x + y =140, 12x + 7y =15
B. 7x + 12y = 140, 7x + 12y = 15
C. x + y =15, 7x + 12y = 140
D. x + y = 15, 12x + 7y = 140
Answers
GPT 3.5
To set up the system of equations, we know there are a total of 15 plates, so:
x + y = 15 (where x is the number of 7-inch plates and y is the number of 12-inch plates)
The total diameter of all the plates combined is 140 inches, which means that the sum of the diameters of all the plates must equal 140 inches:
7x + 12y = 140
Therefore, the system of equations that can be used to find the number of 7-inch plates and the number of 12-inch plates in the cabinet is:
D. x + y = 15, 7x + 12y = 140
x + y = 15 (where x is the number of 7-inch plates and y is the number of 12-inch plates)
The total diameter of all the plates combined is 140 inches, which means that the sum of the diameters of all the plates must equal 140 inches:
7x + 12y = 140
Therefore, the system of equations that can be used to find the number of 7-inch plates and the number of 12-inch plates in the cabinet is:
D. x + y = 15, 7x + 12y = 140