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if a circle has a mass of 2 grams and a triangle has a mass of 5 grams. What is the mass of the square?

if a circle has a mass of 2 grams and a triangle has a mass of 5 grams. What is the-example-1

1 Answer

1 vote

Answer:

C. 10 grams

Step-by-step explanation:

Taking into account the figure, we get that:

The mass of 2 squares, 6 triangles, and 2 circles is equal to the mass of 2 circles, 4 squares, and 2 triangles.

So, if we call x the mass of the square, we can formulate the following equation:

2x + 6(5) + 2(2) = 2(2) + 4x + 2(5)

2x + 30 + 4 = 4 + 4x + 10

Because the mass of the triangles is 5 grams and the mass of the circles is 2 grams.

Then, solving for x, we get:

2x + 34 = 14 + 4x

2x + 34 - 2x = 14 + 4x - 2x

34 = 14 + 2x

34 - 14 = 14 + 2x - 14

20 = 2x

20/2 = 2x/2

10 = x

Therefore, the mass of a square is 10 grams.

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