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Archy [21]
3 years ago
15

if a florist is making identical bouquets using 72 red roses 60 pink roses and 48 yellow roses what is the greatest number of bo

uquets the florist can make if no roses are left over .and how many of each color are in each bouquet
Mathematics
2 answers:
xeze [42]3 years ago
8 0

The <em>correct answer</em> is:

12 bouquets, each having 6 red roses, 5 pink roses, and 4 yellow roses.

Explanation:

To find the number of bouquets we can make, we find the GCF (greatest common factor) of the three numbers, 72, 60 and 48. To do this, we find the prime factorization of each:

72=6\times 12 \\6=2\times 3 \\12=4\times 3 \\4=2\times 2 \\72=2\times2\times2\times3\times3 \\ \\60=6\times 10 \\6=2\times 3 \\10=2\times 5 \\60=2\times2\times3\times5 \\ \\48=12\times4 \\12=4\times3 \\4=2\times 2 \\4=2\times 2 \\48=2\times2\times2\times2\times3

We look for factors that all 3 numbers have in common. These factors are 2, 2 and 3; 2(2)(3)=12, so we can make 12 bouquets.

72/12 = 6; this means we use 6 red roses in each bouquet.

60/12 = 5; this means we use 5 pink roses in each bouquet.

48/12 = 4; this means we use 4 yellow roses in each bouquet.

Harlamova29_29 [7]3 years ago
5 0
72 red, 60 pink, 48 yellow.....greatest common multiple is 12

72/12 = 6
60/12 = 5
48/12 = 4

so there are 12 bouquets...each containing 6 red roses,5 pink roses, and 4 yellow roses.
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