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Katarina is a botanist studying the production of pears by two types of pear tre...


Question

Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that Type A trees produced 20 percent more pears than Type B trees did. Based on Katarina’s observation, if the Type A trees produced 144 pears, how many pears did the Type B trees produce?

Options

A)
115
B)
120
C)
124
D)
173

The correct answer is B.

Explanation:

Choice B is correct. Let x represent the number of pears produced by the Type B trees. Type A trees produce 20 percent more pears than Type B trees, or x, which can be represented as x + 0.20x = 1.20x pears. Since Type A trees produce 144 pears, it follows that 1.20x = 144. Thus x = \(\frac{144}{1.20}\) = 120. Therefore, the Type B trees produced 120 pears.
Choice A is incorrect because while 144 is reduced by approximately 20 percent, increasing 115 by 20 percent gives 138, not 144. Choice C is incorrect; it results from subtracting 20 from the number of pears produced by the Type A trees. Choice D is incorrect; it results from adding 20 percent of the number of pears produced by Type A trees to the number of pears produced by Type A trees.


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