Question 26. A grocer has 12 different integer weights, from 1 kg to 12 kg. She splits them into 3 groups of 4 weights each. The total weight of the first group is 41 kg, and of the second is 26 kg. Which of the following weights is in the same group as the weight of 9 kg? First, let's find out the total weight of all of the weights. We will get a total of 78. Next, let's find out the weight of the third group. To do this, we'll take 78 minus 41 minus 26, the weights of the first and second groups. This gives us 11. So the last group has a total weight of 11 kg. If we take the 4 smallest weights, we get a total of 10. So to get to 11 kg, we have to take 4 and replace it with 5, giving us 11. So the third group is made up of 1, 2, 3, and 5. Next, let's take the 4 heaviest weights, 9, 10, 11, and 12, and we get 42. We know that the first group weighs 41 kg, so let's take 1 off and take the weights of 8, 10, 11, and 12 instead and get 41. With this, we can take the remaining weights and get 26, so everything matches. And the question wanted us to know which of the weights is in the same group as the weight of 9 kg. And with this, we get our answer, C, 7 kg.

integer weights

weight groups

9 kg group

weight distribution

grocer puzzle