1. Stating the problem: A notary receives 3000 for each property deed and 2000 for each incorporation minute. He made a total of 22 operations (deeds and minutes) with a total income of 53000. We need to find how many deeds and minutes were drawn up.
2. Define variables:
Let $x$ = number of deeds
Let $y$ = number of minutes
3. Write the system of equations based on the problem:
$$x + y = 22$$
$$3000x + 2000y = 53000$$
4. Solve the first equation for $y$:
$$y = 22 - x$$
5. Substitute $y$ into the second equation:
$$3000x + 2000(22 - x) = 53000$$
6. Simplify and solve for $x$:
$$3000x + 44000 - 2000x = 53000$$
$$1000x + 44000 = 53000$$
$$1000x = 9000$$
$$x = \frac{9000}{1000} = 9$$
7. Find $y$ using $y = 22 - x$:
$$y = 22 - 9 = 13$$
8. Final answer: The notary drew up 9 deeds and 13 incorporation minutes.
Deeds Minutes
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