JAMB - Mathematics (1987 - No. 2)
Find the least length of a rod which can be cut into exactly equal strips, each of either 40cm or 48cm in length
120cm
240cm
360cm
480cm
Explanation
The least length is \(\frac{40}{48}\) = \(\frac{5}{8}\)
for the rod to be cut in exactly equal trips
Ratio \(\frac{5}{6}\) : \(\frac{48}{40}\)
\(\frac{\frac{5}{6}}{\frac{40}{48}}\) = 1
\(\frac{5}{6}\) x \(\frac{48}{40}\) = \(\frac{240}{240}\) = 1
The least length = 240cm
for the rod to be cut in exactly equal trips
Ratio \(\frac{5}{6}\) : \(\frac{48}{40}\)
\(\frac{\frac{5}{6}}{\frac{40}{48}}\) = 1
\(\frac{5}{6}\) x \(\frac{48}{40}\) = \(\frac{240}{240}\) = 1
The least length = 240cm
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