A study in measurements

Algebra Level 2

In the British system of measurement:

1 nail = 7.92 inches

1 rod = 25 nails

1 foot = 12 inches

1 Flemish ell = 2.25 feet

A distance of 9 rods is equal to how many Flemish ells?


The answer is 66.

Denton Young by Denton Young , 47, USA

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2 solutions

Denton Young
Mar 21, 2016

1 rod = 7.92 * 25 = 198 inches.

9 rods = 198 * 9 = 1,782 inches.

1 Flemish ell = 12 * 2.25 = 27 inches.

9 rods = 1,782 inches = 1,782/27 (=66) Flemish ells

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Moderator note:

Thank goodness they converted over to the metric system. If only the Americans would learn from them ...

Johnny Jillky
Mar 22, 2016

9 r o d s ⋅ 25 n a i l s 1 r o d ⋅ 7.92 i n c h e s 1 n a i l ⋅ 1 f o o t 12 i n c h e s ⋅ 1 F l e m i s h 2.25 f e e t = 66 9 rods \cdot \frac {25 nails}{1 rod} \cdot \frac {7.92 inches}{1 nail} \cdot \frac {1 foot}{12 inches} \cdot \frac {1 Flemish}{2.25 feet} = 66

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