Lamar wants to slice a 35-ounce tomato and a 28-ounce tomato into pieces of the same weight. He finds the greatest common factor of the tomato weights to determine the weight of each piece. What is the greatest common factor of 35 and 28? Show your work. Use your answer to determine the number of pieces and the weight of the pieces that need to be cut for the 35-ounce tomato and the 28-ounce tomato.
35: 1, 5, 7, 35
28: 1, 2, 4, 7, 28
So what is your question?
I'm not sure what the weight and the number of pieces would be
The weight of each piece is the greatest common factor.
Divide the weight of each tomato by the greatest common factor. That is the number pieces for each tomato.
Thank for taking the time to help me, Ms.Sue.
You're very welcome, Help.
To find the greatest common factor (GCF) of 35 and 28, we need to list all the factors of each number and then identify the largest factor that both numbers have in common.
Factors of 35: 1, 5, 7, 35
Factors of 28: 1, 2, 4, 7, 28
The greatest common factor of 35 and 28 is 7, as it is the largest factor that both numbers have in common.
To determine the number of pieces and the weight of each piece, we need to divide the weight of each tomato by the GCF.
For the 35-ounce tomato:
Number of Pieces = 35 / 7 = 5 pieces
Weight of Each Piece = 35 / Number of Pieces = 35 / 5 = 7 ounces
So, Lamar needs to cut the 35-ounce tomato into 5 pieces, with each piece weighing 7 ounces.
For the 28-ounce tomato:
Number of Pieces = 28 / 7 = 4 pieces
Weight of Each Piece = 28 / Number of Pieces = 28 / 4 = 7 ounces
So, Lamar needs to cut the 28-ounce tomato into 4 pieces, with each piece weighing 7 ounces.