A geologist has 10 rocks of equal weight

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Presentation transcript:

A geologist has 10 rocks of equal weight A geologist has 10 rocks of equal weight. If 6 rocks and a 10-ounce weight balance on a scale with 4 rocks and a 22-ounce weight, what is the weight of one of these rocks in ounces? Difficulty: Medium 4 5 6 7 8 HINT If r is the weight of one rock, then the weight of 6 rocks and a 10-ounce weight can be written as 6r + 10, and the weight of 4 rocks and a 22-ounce weight can be written as 4r + 22. Since the two sides balance, these weights are equal.

C: 6 Explanation Let r equal the weight of each rock, in ounces. The weight on one side of the scale is 6r + 10 ounces and the weight on the other side is 4r + 22 ounces. Since the two weights balance, you can write the equation 6r + 10 = 4r + 22. Solving this equation yields r = 6.