Problem K. 736. (October 2022)

K. 736. A company has 120 employees: plumbers, tilers, bricklayers and painters. All plumbers and bricklayers have a driving license, the others do not. The bricklayers and painters work in Pipacs street, the others in Kankalin street. The number of employees without a driving license is 64, and 84 employees work in Kankalin street. There are twice as many plumbers as painters. How many employees of each kind are there at the company?

(5 pont)

Deadline expired on November 10, 2022.

Sorry, the solution is available only in Hungarian. Google translation

Megoldás. Rögzítsük a megadott adatokat egy táblázatba:

Legyen a festők száma \(\displaystyle x\), ekkor a vízvezeték-szerelők létszáma \(\displaystyle 2x\), a burkolók száma pedig \(\displaystyle 64 - x\). A Kankalin utcában összesen \(\displaystyle 84\)-en dolgoznak, tehát \(\displaystyle 2x+(64-x)=84\) . Innen \(\displaystyle x = 20\). Tehát a festők \(\displaystyle 20\)-an, a vízvezeték-szerelők \(\displaystyle 40\)-en, a burkolók \(\displaystyle 64-20=44\)-en, a kőművesek pedig \(\displaystyle 120-20-40-44=16\)-an vannak.

Statistics:

135 students sent a solution.
5 points:	83 students.
4 points:	9 students.
3 points:	5 students.
2 points:	3 students.
1 point:	1 student.
Unfair, not evaluated:	20 solutionss.
Not shown because of missing birth date or parental permission:	14 solutions.

Problems in Mathematics of KöMaL, October 2022