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Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

To make an orange dye, 3 parts of red dye are mixed with 2 parts of yellow dye. To make a green dye, 2 parts of blue dye are mixed with 1 part of yellow dye. If equal amounts of green and orange are mixed, what fraction of the new mixture is yellow dye?

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In the orange dye, 2 out of every 5 parts are yellow, and in the green dye, 1 out of every 3 parts is yellow. In the problem, equal amounts of the orange (which is 2 over 5 yellow) and the green (which is 1 over 3 yellow) are to be mixed. If you wanted to make a total mixture of x quarts, then x over 2 quarts would be orange and x over 2 quarts would be green. The orange would contribute 2 over 5 of x over 2 quarts of yellow and the green would contribute 1 over 3 of x over 2 quarts of yellow.

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