Answer:
To make all the arrangement identical and have no flowers left over , the greatest number of flower arrangement is 14
Step-by-step explanation:
This is a problem from Highest common factor or HCF .
To determine the highest possible arrangements of 42 roses and 56 daisies . we have to determine the common factors of these two numbers .
Now all we have to just , factorize two numbers .
42 = 2 × 21 = 2 × 7× 3
56 = 2 × 28 = 2 × 2 × 2 × 7
Therefore , the common factors between 56 and 42 is 2 , 7
and highest common factor is , 2 × 7 = 14
Now we can say the HCF is 14 .
Now in each arrangements , roses are in number of 3 and daisies in number of 4 ( 42/14 = 3 and 56/14 = 4 ) .
To know more about HCF ,
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