Difference 82737

Mom divided the strudel among her three sons. First, she cut off 1/3 of the strudel. She split the rest in a ratio of 2:3. The difference between the longest and shortest pieces is 4 cm. Determine the length of the strudel in cm.

Correct answer:

x =  30 cm

Step-by-step explanation:

a+b+c=x a=x/3 b+c = 2/3 x b:c=2:3  3b=2c cb=4  3 b=2 c cb=4  3b2c=0 bc=4  Row231 Row1Row2 3b2c=0 0.33c=4  c=0.333333334=12 b=30+2c=30+2 12=8  b=8 c=12  x=23 (b+c)=23 (8+12)=30=30 cm   Verifying Solution:   a=x/3=30/3=10 cm b=8 cm c=12 cm X=a+b+c=10+8+12=30 cm

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