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Question

Katarina is a botanist studying the production of pears by two types of pear trees. She notices 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?

A
115
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B
120
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C
124
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D
173
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Solution

The correct option is B: 120

Since Katarina notices that Type A trees produced 20 percent more pears than

Type B trees did.

Since Type A trees produced 144 pears, the "20 percent more" than the same amount is 120% of Pears produced by Type B, that is:

144=120100×B

144×100=120×B

14400=120×B

B=14400120

B=120

Hence, if the Type A trees produced 144 pears, then Type B trees produced 120 pears.


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