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If 3 trees have 986 leaves, how many leaves are there in 7 such trees?

Mathematics

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Answer

69023 leaves\frac{6902}{3} \text{ leaves}

Step-by-step solution

2 steps
  1. Determine the number of leaves per tree.

    Given that there are 986 leaves in 3 trees, we can find the average number of leaves per tree by dividing the total number of leaves by the number of trees.

    Leaves per tree=986 leaves3 trees\text{Leaves per tree} = \frac{986 \text{ leaves}}{3 \text{ trees}}
  2. Calculate the total number of leaves in 7 such trees.

    To find the total number of leaves in 7 trees, multiply the leaves per tree by 7.

    Total leaves in 7 trees=(9863)×7\text{Total leaves in 7 trees} = \left(\frac{986}{3}\right) \times 7 Total leaves in 7 trees=986×73\text{Total leaves in 7 trees} = \frac{986 \times 7}{3} Total leaves in 7 trees=69023\text{Total leaves in 7 trees} = \frac{6902}{3}

    The total number of leaves in 7 trees is 69023\frac{6902}{3}. This can also be expressed as a mixed number: 2300232300 \frac{2}{3} leaves.

    The number of leaves in 7 such trees is 69023 leaves\boxed{\frac{6902}{3} \text{ leaves}}.

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