the mass of a mixture containing both rice and navy beans was found to be 143.85 g. the rice grains were separated from the navy beans by putting the mixture through a large strainer (the small rice grains fell through the holes, the larger navy beans did not). the mass of the rice that separated out was 4.65 g. use the results of the above experiment to estimate the number of rice grains and navy beans in the mixture.



Answer :

Based on the mass of the mixtures and the masses of the rice grains and the navy beans;

The number of grains of rice in the mixture is 160 grains

The number of navy beans in the mixture is 2282 navy beans

What is the mass of the heavy beans?

The mass of the navy beans is obtained from the mass of the mixture of the rice and navy beans.

The mass of the navy beans is obtained using the formula below:

Mass of navy beans = mass of mixture - mass of the rice grains

The mass of the mixture of the rice and navy beans = 143.85 g

The mass of the rice grains = 4.65 g

assuming the mass of a single grain of rice is 0.029 grams

The number of grains of rice = 4.65 / 0.029

The number of grains of rice in the mixture  = 160 grains

Assuming the mass of a single navy bean is 0.0601 g

The number of navy beans = (143.85 - 4.65) / 0.061

The number of navy beans  = 2282 navy beans

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