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A team of arborists is studying a forest in the Appalachian mountains that has 800 oak trees. They found that 2/5 of the oaks are red oaks, and the rest are white oaks. If 3/8 of the red oaks and 1/6 of the white oaks have oak wilt disease, what fraction of the oak trees in the forest have the disease?

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mathstudent55

Answer:

1/4

Step-by-step explanation:

total: 800 oak trees

red oaks: 2/5 of 800 = 2/5 × 800 = 320

white oaks: 800 - 320 = 480

red oaks with wilt: 3/8 × 320 = 120

white oaks with wilt: 1/6 × 480 = 80

total number of trees with wilt: 120 + 80 = 200

fraction of trees with wilt: 200/800 = 1/4

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