if Leroy has a train pieces that are 24 cm long.
Ruth has a train track pieces that 54 cm long.
How many of each pieces will they each need
to complete a full train track of the same equal
length?
Answers
Given : Leroy has a train pieces that are 24 cm long.
Ruth has a train track pieces that 54 cm long.
To Find : How many of each pieces will they each need to complete a full train track of the same equal length?
Solution:
Leroy has a train pieces that are 24 cm long.
Ruth has a train track pieces that 54 cm long.
To Find minimum length of train track such that they have same equal length
need to find LCM of 24 and 54
24 = 2 * 2 * 2 * 3
54 = 2 * 3 * 3 * 3
LCM = 2 * 2 * 2 * 3 * 3 * 3
= 216
Minimum length of train track = 216 cm
Pieces required by Leroy = 216/24 = 9
Pieces required by Ruth = 216/54 = 4
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