Originally 80757

There were 45 sheep and several shepherds in the meadow. After half of the shepherds and a third of the sheep left the meadow, the remaining shepherds and sheep had a total of 126 legs. All sheep and all shepherds usually had leg counts. how many shepherds were originally in the meadow?

Correct answer:

a =  6

Step-by-step explanation:

$$\begin{gathered} 2\cdot (a-\frac{a}{2})+4\cdot (45-\frac{45}{3})=126 \\ 2\cdot (a-a/2)+4\cdot (45-45/3)=126 \\ 6a=36 \\ a=\frac{36}{6}=6 \\ a=6 \end{gathered}$$

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