SOLUTION: It takes about 3 bundles of grass to weave a circular mat of diameter 1½m. How many bundles to the nearest bundle, does it take to weave a similar mat of diameter 2½m?

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Question 1205077: It takes about 3 bundles of grass to weave a circular mat of diameter 1½m. How many bundles to the nearest bundle, does it take to weave a similar mat of diameter 2½m?
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
use proportion:
....cross multiply



it takes bundles of grass to weave a similar mat of diameter

Answer by ikleyn(52852)   (Show Source): You can put this solution on YOUR website!
.
It takes about 3 bundles of grass to weave a circular mat of diameter 1½m.
How many bundles to the nearest bundle, does it take to weave a similar mat of diameter 2½m?
~~~~~~~~~~~~~~~~~~~~~~~~


        The solution in the post by MathLover1 is INCORRECT.
        I came to bring a correct solution.


The proportion should relate the areas of the mats, OBVIOUSLY.

     = ,

or 

     = .


From this proportion

    x =  = 8.333.


Round it to the closest greater integer number to have a necessary margin.


ANSWER.  9 bundles of grass is needed.

Solved.



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