A can with 40 marbles in it weighted 135 grams. The same can with 20 marbles weighed 75 grams. How much is the weight of the can? Explain your answer.
40 m + c = 135
20 m + c = 75
95
55
To find the weight of the can, we need to determine the weight of each marble and subtract it from the total weight given.
First, let's find the weight per marble. We know that a can with 40 marbles weighs 135 grams. Therefore, to find the weight per marble, we divide the total weight by the number of marbles: 135 grams ÷ 40 marbles = 3.375 grams per marble.
Next, using the weight per marble, we can calculate the weight of the can itself. We are given that a can with 20 marbles weighs 75 grams. So, to find the weight of the can, we subtract the total weight of the marbles from the weight of the can with marbles: 75 grams - (20 marbles × 3.375 grams per marble) = 75 grams - 67.5 grams = 7.5 grams.
Therefore, the weight of the can is 7.5 grams.