Mathematical and Physical Journal
for High Schools
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Problem K. 541. (March 2017)

K. 541. Anna's income is \(\displaystyle \frac{5}{8}\) of Betty's income, while Anna's monthly expenses are only one half of what Betty spends a month. Anna puts 40% of all her income aside each month. What percentage of her monthly income does Betty put aside?

(6 pont)

Deadline expired on April 10, 2017.


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

Megoldás. Ha Anna jövedelme havonta \(\displaystyle A\), akkor Anna havi megtakarítása \(\displaystyle 0,4A\), havi kiadása \(\displaystyle 0,6A\). Betti havi jövedelme \(\displaystyle \frac85A\), havi kiadása \(\displaystyle 1,2A=\frac65 A\), ez havi jövedelmének \(\displaystyle \frac65:\frac85=\frac34\) része. Tehát Betti havi megtakarítása havi jövedelmének 25%-a.


Statistics:

78 students sent a solution.
6 points:53 students.
5 points:7 students.
4 points:2 students.
2 points:2 students.
1 point:1 student.
0 point:3 students.
Unfair, not evaluated:10 solutions.

Problems in Mathematics of KöMaL, March 2017