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The total of 42 swimmers are competing
Step-by-step explanation:
The given is:
- The ratio of runners to swimmers was 3 : 2
- When 28 runners dropped out of the competition, the ratio became 5 : 6
We need to find how many total swimmers are competing
∵ The ratio of runners to swimmers was 3 : 2
- Multiply each term of the ratio by x
∴ There are 3x runners and 2x swimmers
∵ 28 runners dropped out of the competition
∴ The number of runners who complete = 3x - 28
∵ The ratio became 5 : 6
- Equate the ratio between the new number of runners and the
number of swimmers by 5 : 6
∵ The new number of runners = 3x - 28
∵ The number of swimmers = 2x
∴
- By using cross multiplication
∴ 6(3x - 28) = 5(2x)
- Simplify both sides
∴ 18x - 168 = 10x
- Add 168 to both sides
∴ 18x = 10x + 168
- Subtract 10x from both sides
∴ 8x = 168
- Divide both sides by 8
∴ x = 21
∵ The number of swimmers is 2x
∵ x = 21
∴ The number of swimmers = 2(21) = 42
The total of 42 swimmers are competing
Learn more:
You can learn more about the ratio in brainly.com/question/2707032
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Answer:
The value is
Step-by-step explanation:
From question we are told that
The number of types of marbles present jar is n = 3
Generally the probability of drawing a green marble is
Generally the probability of drawing a marble that is not green is
From the question we are told that there will be continuous drawing of marbles from the jar (in such a way that after each marble is drawn it is being replaced) until a green marble drawn
Let m be the number of times marbles has been drawn when a green marble was gotten
it then means that for m - 1 times the marbles where drawn a green marble was not obtain.
Generally the probability drawing m times is mathematically is mathematically represented as
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