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For each problem, write a complete description of how youapproached finding the

ID: 3089128 • Letter: F

Question

For each problem, write a complete description of how youapproached finding the solution, including things that you triedthat were not successful.  Identifythe strategy that worked for you. Writeany other comments or include picture/diagrams that youused.

1.      Threeblocks of cheese weigh 650 kilograms, 680 kilograms, and 740kilograms.  Forthe purpose of packing and to avoid waste, the cheese is to be cutinto pieces of equal weight.  Howmuch should each piece weigh if the total number of pieces is to beas small as possible?

Explanation / Answer

the three blocks of cheese weigh 650 kg, 680 kg, 740 kg.

we have to cut those cheese into pieces ofequal weight so thattotal number of pieces be as small as possible.

to solve this problem we have to cut those cheeses in such a waythat those pieces are of maximum weight.

that is we have to do a GCD of 650kg, 680kg and 740 kg.

GCD of 650, 680 and 740 = 10

so each pieces will weigh 10 kg.

Answer:- 10 kg