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Murljashka [212]
2 years ago
9

During the first hour of operation the farm stand owner sold 15% of the apples he had. On the second hour he sold 20% of the rem

aining apples. On the third hour he sold 25% of the remaining apples, and so on, selling 5% more each following hour. If during the third hour he sold 34 kg of apples, how many kilograms of apples did he have initially?
Mathematics
1 answer:
Lelechka [254]2 years ago
5 0

Answer:

200 kg


Step-by-step explanation:

First hour he sold 15% <em>(remaining is 85%)</em>

Second hour he sold 20% of remaining <em>(which is 85%)</em> -- so he sold (0.2)(0.85)=0.17, which is 17% (remaining 85-17=68%)

Third hour he sold 25% of remaining <em>(which is 68%)</em> -- so he sold (0.25)(0.68)=17, which is 17%


In third hour he sold 34, so 17% is 34. To find total he initially had, we need to find (100%). We can setup the ratio (letting x equal his initial amount):

\frac{0.17}{34}=\frac{1}{x}\\0.17x=34\\x=\frac{34}{0.17}=200

Initially the farm stand owner had 200 kg of apples.

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