In England, mass is measured in units called stones. One pound equals 1/14 of a stone. A cat weighs 3/4 stone. How many pounds does the cat weigh?

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23-09-2017
Mathematics

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In England, mass is measured in units called stones. One pound equals 1/14 of a stone. A cat weighs 3/4 stone. How many pounds does the cat weigh?

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jdoe0001 jdoe0001 · Answer 1 · 2017-09-23T21:30:23+02:00

[tex]\bf \begin{array}{ccll} stones&lbs\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \frac{1}{14}&1\\\\ \frac{3}{4}&p \end{array}\implies \cfrac{\quad \frac{1}{14}\quad }{\frac{3}{4}}=\cfrac{1}{p}\implies \cfrac{1}{14}\cdot \cfrac{4}{3}=\cfrac{1}{p} \\\\\\ \cfrac{2}{21}=\cfrac{1}{p}\implies p=\cfrac{21\cdot 1}{2}\implies p=\cfrac{21}{2}\implies p=10\frac{1}{2}[/tex]