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? (a) 4 (b) 5 (c) 6 (d) 7 (e) 8

r = 6: C 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.