jack wants to buy an equal number of green,blue and white ornarments for his holiday tree.green ornarments come in packages of3; blue ornarments come in packages of 6; the white ones come in packages of 4.what is the least number of packages of each color he must he buy.
The least common multiple is 12.
3g = 6b = 4w
factor each to find least common multiple
3 = 3
6 = 3*2
4 = 2*2
so we need 2*2*3 = 12
12/3 = 4
12/6 = 2
12/4 = 3
so
4 green
2 blue
3 white
for 12 of each
To find the least number of packages of each color that Jack must buy, we need to find the common multiples of 3, 6, and 4.
First, let's find the multiples of each number:
Multiples of 3: 3, 6, 9, 12, ...
Multiples of 6: 6, 12, 18, 24, ...
Multiples of 4: 4, 8, 12, 16, ...
To find the least common multiples, we need to find the smallest number that appears in all three lists. In this case, we can see that the smallest number that appears in all three lists is 12.
Therefore, Jack must buy at least 12 packages of each color: 12 packages of green (3 per package), 12 packages of blue (6 per package), and 12 packages of white (4 per package).