By using the second condition, we conclude that there are 23 white roses in the tray.
<h3>
How many white roses are in the tray?</h3>
First, we know that there are a total of 50 roses in the tray, and we have the conditions:
- <em>"There is at least 1 red rose among any 24 randomly selected roses"</em>
- <em>"There is at least 1 white rose among any 28 randomly selected roses".</em>
The second statement means that, always that we take 28 roses, at least one of them is white. So, there are 27 roses in the tray that are not white.
Whit that in mind, if the 28th rose must be white, then all the remaining roses in the tray are white, this means that there are:
50 - 27 = 23 white roses.
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I believe the answer is D. Let me know if you need an explanation
Answer:
6 Chickens
Step-by-step explanation:
Let H represent the number of horses and C represent the number of chickens. Since there are 32 legs altogether this means that on equation to use would be given by:
2C + 4 H = 32 (Eq. 1)
Another equation can be made from the fact that there are 11 heads or 11 animals altogether which can be written as:
C + H = 11 (Eq. 2)
From Eq. 2, solve for the number of chickens:
C + H = 11
C = 11 - H (Eq. 3)
Substituting Eq. 3 in Eq. 1, the number of horses can be determined:
2 C + 4 H = 32
2 ( 11 − H ) + 4 H = 32
22 − 2 H + 4 H = 32
2H = 32 − 22
2 H = 10
H = 5 Eq.4
Putting Eq.4 in Eq.1
2C + 4*5 = 32
2C = 32 - 20
2C = 12
C = 12/2
C = 6