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Algebra / Linear equations in two variables Difficulty: Medium

The equation 7 g + 7 b = 840 represents the number of blue tiles, b , and the number of green tiles, g , an artist needs for an 840 -square-inch tile project. The artist needs 71 blue tiles for the project. How many green tiles does he need?

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Explanation

The correct answer is 49. It’s given that the equation 7g+7b=840 represents the number of blue tiles, b, and the number of green tiles, g, an artist needs for an 840-square-inch tile project. It’s also given that the artist needs 71 blue tiles for the project. Substituting 71 for b in the equation 7g+7b=840 yields 7g+7(71)=840, or 7g+497=840. Subtracting 497 from both sides of this equation yields 7g=343. Dividing both sides of this equation by 7 yields g=49. Therefore, the artist needs 49 green tiles for the project.