margarit liked to balance things. she balanced 3 pencil sharpeners and 2 one gram blocks with a 100 gram weight and another one gram block. she let x stand for the weight of one pencil sharpener and she claimed that x=30grams. was she correct if not how much died each pencil sharpener weigh/
If each pencil weighs 30 grams, 3 pencils weigh 90 grams, so 3 pencils and 2 one gram blocks would be 92 grams. On the right is 101 grams. Those don't balance. You want:
3x + 2 = 101.
3x = 99
x = 33 grams.
Each pencil sharpener weighs 33 grams. Margarit was not correct in claiming they weighed 30 grams each.
No, Margarit's claim that x=30 grams for each pencil sharpener is incorrect. Each pencil sharpener actually weighs 33 grams.
Margarit was not correct in claiming that each pencil sharpener weighs 30 grams. The correct weight of each pencil sharpener is 33 grams. To arrive at this answer, we can go through the following steps:
1. We know that Margarit balanced 3 pencil sharpeners and 2 one-gram blocks with a 100-gram weight and another one-gram block.
2. Let's assume that the weight of one pencil sharpener is represented by the variable "x".
3. According to Margarit's claim, x = 30 grams. However, we need to check if this claim is accurate.
4. Now, let's calculate the total weight on the left side of the balance: 3 pencil sharpeners (3x) + 2 one-gram blocks (2) = 3x + 2.
5. The right side of the balance is given as a 100-gram weight and another one-gram block, which totals 101 grams.
6. Thus, we can set up the equation: 3x + 2 = 101.
7. By isolating the variable, we subtract 2 from both sides of the equation: 3x = 99.
8. Lastly, divide both sides by 3 to solve for x: x = 33 grams.
9. Therefore, each pencil sharpener weighs 33 grams, not 30 grams as claimed by Margarit.