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23 votes
23 votes
A village loses 14% of its goats in a flood 6% of the remainder die from the disease given that the number of goats left is 8084 find the original number of the goats in the village pls show in working pls

User Hanggi
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1 Answer

18 votes
18 votes
The village starts with 100% of its goats, right? So logically, after 14% of the goats die, that means 86% still remain. Then, 6% die, meaning that 94% of the 86% remain. So,

0.86 x 0.94 = 0.8084

This means that 80.84% of the original goats is 8084 goats. (I know, they look similar, but it’s likely just the question trying to trick you)

Now, since 80.84% of 100% is 8084,

80.84/100 = 8084/x

Where x is the original number of goats,

Cross multiply

80.84x = 808400

Divide both sides by 80.84

x = 10000 goats

User Ulad
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3.2k points