Liza is a florist and receives fresh stocks of flowers everday. One morning, she receives 60 roses, 50 daisies, and 30 orchids.
Find the greatest number of bouquets that can be made using all three flowers in each bouquet.

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Solution

The correct option is D 10
Number of flowers:
Roses = 60
Daisies = 50
Orchids = 30
Total number of flowers = 60 +50 + 30 = 140

Greatest number of bouquets = Highest common factor (HCF) of 60, 50, and 30
Factors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Factors of 50 = 1, 2, 5, 10, 25, 50
Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30

HCF of 30, 50, and 60 = 10
Greatest number of bouquets = 10

So, if there are a total of 140 flowers in 10 bouquets,
Number of flowers in each bouquet = 14

We can arrange this in the following manner:
Liza uses 6 roses, 5 daisies, and 3 orchids in each bouquet.

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Liza is a florist and receives fresh stocks of flowers everday. One morning, she receives 60 roses, 50 daisies, and 30 orchids. Find the greatest number of bouquets that can be made using all three flowers in each bouquet.

Liza is a florist and receives fresh stocks of flowers everday. One morning, she receives 60 roses, 50 daisies, and 30 orchids.
Find the greatest number of bouquets that can be made using all three flowers in each bouquet.