Subjects algebra

Deeds Minutes

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

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.