Problema Solution

A can with 40 marbles in it weighed 135 grams. The same can with 20 marbles weighed 75 grams. What is the mass of each marble? What is the mass of the can?

Answer provided by our tutors

let


m = the mass of each marble

c = the mass of the can


A can with 40 marbles in it weighed 135 grams


50m + c = 135



The same can with 20 marbles weighed 75 grams


20m + c = 75


by solving the system of equations


50m + c = 135

20m + c = 75


we find


m = 2 g


c = 35 g


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the mass of each marble is 2 grams.

the mass of the can is 35 grams.