Question

37 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, x, and the
number of 12-inch plates, y, that are in the cabinet?
A
x + y = 140
12x + 7y = 15
B
7x +12y = 140
7x + 12y = 15
cx + y = 15
7x + 12y = 140
D
x + y = 15
12x + 7y = 140

Answer 1

Answer:

it would be 7x+12y=140

Answer 2

The required system of equation is that can be used to find number of 7-inch plates and 12-inch plates is:

        $x+y=15\\7x+12y=140$

Given information:

The plates in a kitchen cabinet = 15

The diameter of each plates is either 7 inch or 12 inch.

The diameter of all 12$x+y=15$ plates combined is 140 inches.

Now, for the system of equation:

According to the question:

The number of 7 inches plates is $x$

The number of 12 inches plates is $y$

So, by the information given in the question:

$x+y=15$

Because, there are 15 plates in the cabinet we can write the above equation.

Now, the sum of diameters of all plates is 140, that is also given in the question.

Hence, we can write the second equation as:

$7x+12y=140$

Hence, The required system of equation is that can be used to find number of 7-inch plates and 12-inch plates is:

$x+y=15\\7x+12y=140$

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