acsuvaic9

2022-07-25

The largest sheep ranch in the world is located in australia. the number os sheep on the ranch is 8/3 the number of univited kangaroos grazing on the pastureland. together, herds of these two animals number 88.000. how many sheep and how many kangaroos roam the ranch?

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penangrl

Expert

let there are x kangaroos
$\text{number of sheep}=\frac{8}{3}\left(x\right)\phantom{\rule{0ex}{0ex}}x+\frac{8}{3}x=88000\phantom{\rule{0ex}{0ex}}x\left(1+\frac{8}{3}\right)=88000\phantom{\rule{0ex}{0ex}}x\left(\frac{11}{3}\right)=88000\phantom{\rule{0ex}{0ex}}x=88000\left(\frac{3}{11}\phantom{\rule{0ex}{0ex}}x=24000\phantom{\rule{0ex}{0ex}}\frac{8x}{3}=\frac{8}{3}\left(24000\right)=64000$
so there are 24000 kangaros 64000 sheep

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