Forty-five roses, plus some number of daffodils and tulips, are blooming in a garden. Four times as many daffodils as roses are blooming, and 15 more tulips than roses are blooming. Then a gardener uses all of the flowers to make identical bouquets. What is the maximum number of bouquets the gardener could have made?
Answers
Answer:
Step-by-step explanation:
There are 4 times as many daffodils as roses, which means that there are 45 x 180 daffodils.
The second peice of information tells us there are 15 tulips than roses, meaning there is 45+15=60 tulips.
We already know there are 45 roses.
We can not solve anymore, because we do not know how many flowers are in a bouquet.
Answer: Maximum number of bouquets that the gardener could have made = 15
Given:
- Number of daffodils = 4 x Number of roses
- Number of tulips = Number of roses + 15
- Number of roses = 45
To Find: Maximum number of bouquets the gardener could have made
Step-by-step explanation:
Step 1: The greatest number that totally divides given integers is known as the Highest Common Factor (HCF). The Greatest Common Divisor (GCD) is another name for the Highest Common Factor (HCF) (GCD).
Step 2: Number of daffodils = 4 x Number of roses
Number of tulips = Number of roses + 15
Number of roses = 45
From the above information we can calculate number of daffodils, tulips. Hence, Number of daffodils = 4 x 45 = 180
Number of tulips = 45+15 = 60
Step 3: Now, as we know that all the bouquets are identical to each other. So maximum number of bouquets are the HCF of number of daffodils, tulips and roses.
Thus, HCF (180, 60, 45) = 15
Hence maximum number of bouquets that the gardener could have made = 15
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