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Leto [7]
3 years ago
9

A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre o

f the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division.
Mathematics
2 answers:
professor190 [17]3 years ago
6 0
Just divide the two numbers
Klio2033 [76]3 years ago
4 0

Answer: There are 6 sheeps grazing on each acre of the pasture.

Step-by-step explanation:

Hi, to answer this question we simply have to divide the number of sheep (250) by the number of acres (40).

Mathematically speaking:

250 sheep / 40 acres = 250/4= 6.25 sheep per acre ≅ 6 sheep  

There are 6 sheep grazing on each acre of the pasture.

Feel free to ask for more if needed or if you did not understand something.

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since we know the total amount split between both in a 18 : 17 ratio is "x", let's divide "x" by (18 + 17) and distribute accordingly to get the amount of each.

\stackrel{Adam~received}{18\cdot \cfrac{x}{18+17}}\qquad \qquad \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that Adam got "5" more}}{ \stackrel{Adam}{18\cdot \cfrac{x}{18+17}}~~ = ~~\stackrel{Tom}{17\cdot \cfrac{x}{18+17}~~ + ~~5} }\qquad \implies \qquad \cfrac{18x}{35}~~ + ~~\cfrac{17x}{35}+5

\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{35}}{35\left( \cfrac{18x}{35} \right)~~ = ~~35\left( \cfrac{17x}{35}+5 \right)}\implies 18x~~ = ~~17x+175\implies \boxed{x =175} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}}\implies \cfrac{17(175)}{35}\implies \blacktriangleright 85 \blacktriangleleft

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