Answer:
John's number is 1500
Step-by-step explanation:
* Lets explain how to solve the problem
- Factors of a number are the numbers you multiply to get the number
- Ex: Factors of 12 are 1 × 12 , 2 × 6 , 3 × 4
- The factors of a number smaller than or equal the number
- Multiple of a number is that number multiplied by an integer
- Ex: 2, 4, 6, 8, and 10 are multiples of 2
- The multiples of a number greater than or equal the number
* Lets solve the number
- John is thinking of a number
- He gives the following 3 clues
# The number has 125 as a factor
# The number is a multiple of 30
# The number is between 800 and 2000
∵ 125 is a factor of the number
- Assume that the number is 125 (its factors 1 , 5 , 25 , 125)
∵ The number is a multiple of 30
- Assume the number is 30 (the first multiple of 30)
- To solve the problem lets find the lowest common multiple of 125
and 30 by using prime numbers only
∵ The prime factors of 125 = 5 × 5 × 5
∵ The prime factors of 30 = 2 × 3 × 5
- L.C.M of the two numbers is the product of their prime factors
without reputation
∴ L.C.M = 5 × 5 × 5 × 2 × 3 = 750
∵ 750 has 125 as a factor
∵ 750 is a multiple of 30
- But 750 is not between 800 and 2000
∴ Find a multiple of 750 and between 800 and 2000
∵ 2 × 750 = 1500
* lets check the three clues
∵ 1500 has 125 as a factor
∵ 1500 is a multiple of 30
∵ 1500 is between 800 and 2000
∴ John's number is 1500
The percent of change from 62 trees to 31 trees is 50 % after applying the concept of percentage.
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
The percent of change 62 trees to 31 trees
Let x be the percent:
The value of x can be evaluated as:
As we know, the usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
x = [(62 - 31)/62]×100
x = [31/62]×100
x = 50 %
Thus, the percent of change 62 trees to 31 trees is 50 % after applying the concept of percentage.
Learn more about the percentage here:
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