Complete question is;
Your local minor League baseball team has 120 ball caps 180 miniature baseball keychains and 240 glow-in-the-dark bracelets to give away to the children on opening day the items will be split into identical sets with no items left over each child will receive one set of items. what is the greatest number of children that will receive a set of items on opening day please show all work due today
Answer:
greatest number of children that will receive a set of items on opening = 60
Explanation:
We are told that local minor League baseball team has 120 ball caps 180 miniature baseball keychains and 240 glow-in-the-dark bracelets to give away to the children on opening day.
We are also told the items will be split into identical sets with no items left over.
Now, we want to find the greatest number of children that will receive a set of items on opening.
This implies that we have to find TH highest common factor of 120, 180 and 240
To do this, we will list out all the factors of each of the 3 numbers and then select the highest one that is common to the 3 of them.
Factors of 12 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Factors of 180 = 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Factors of 240 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240.
From all the factors listed above, the one that is the highest and appears in all three is 60
Thus, greatest number of children that will receive a set of items on opening = 60