SOLUTION: A watermelon is cut into two pieces in the ratio 4:5 by weight. Then the larger piece is cut into two pieces in the ratio 7:8 by weight. Out of three pieces what is the ratio of th

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Question 983150: A watermelon is cut into two pieces in the ratio 4:5 by weight. Then the larger piece is cut into two pieces in the ratio 7:8 by weight. Out of three pieces what is the ratio of the weight of the largest piece to that of smallest piece?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
After the first cut, the small part is and the big part is .

Second cut:
The two pieces made from the big part are and .

Attention is now on the fractions ;
;
and
.

Bring the to terms of .
.

Now you are ready to compare.
Which is the largest among ?

The largest is the part which came from the first cutting, which was not cut further.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

A watermelon is cut into two pieces in the ratio 4:5 by weight. Then the larger piece is cut into two pieces in the ratio 7:8 by weight. Out of three pieces what is the ratio of the weight of the largest piece to that of smallest piece?
Ratio:  

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