Paulo has a certain amount of money. If he spends
1 answer:
You might be interested in
The answer for the question is: Percentage.
The explanation for this answer is shown below:
By definition, a percentage is a number that is computed on the basis of a whole divided into one hundred parts. Therefore, based on this definition, you can write a percent as percentage (with the symbol %), as a fraction (with a numerator and a denominator) and you can also express it as a decimal, as following:
%
4, 5, and 7 are mutually coprime, so you can use the Chinese remainder theorem right away.
We construct a number such that taking it mod 4, 5, and 7 leaves the desired remainders:
- Taken mod 4, the last two terms vanish and we have
so we multiply the first term by 3.
- Taken mod 5, the first and last terms vanish and we have
so we multiply the second term by 2.
- Taken mod 7, the first two terms vanish and we have
so we multiply the last term by 7.
Now,
By the CRT, the system of congruences has a general solution
or all integers ,
, the least (and positive) of which is 27.