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Jason bought a bag of rice for his family. They ate an equal amount of rice each day.

After 12 days, he had 3/4 of the rice left. After another 6 days, he had 21 kg left.

How much rice did Jason buy?

 Feb 8, 2022
 #1
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in 12 days they eat 1/4      six more days they eat  1/8

 

3 / 8 eaten leaves    5 /8   and this equals 21kg

 

5/8x = 21

x = 21 * 8/5 = _________ kg originally

 Feb 8, 2022
 #2
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Every 12 days, they ate \(1 \over 4\) of the rice. 

 

This means that they ate \(1 \over 8\) of the rice every 6 days. 

 

So, \({3 \over 4} - {1 \over 8} = {5 \over 8}\).

 

This means that \({5 \over 8} = 21\). By solving the ratios, we find that Jason originally had \(\color{brown}\boxed{33.6}\) kg of rice.

 Feb 8, 2022

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