Question

Кузнец и его подмастерье куют мечи. За день кузнец делает на 9 мечей больше, чем подмастерье. Известно, что кузнец работал 4 дня, а подмастерье — 10 дней. В результате кузнец сделал на 6 мечей больше, чем подмастерье. Сколько мечей в день делает кузнец, а сколько подмастерье? Введите ответы цифрами через пробел.

Answer 1

Подмастерье - х
кузнец - х+9

4(х+9)-10х=6
4х+36-10х=6
-6х=-30
х=5

подмастерье за 10 дней = 50 мечей, в день 5
кузнец за 4 дня = 56мечей, в день 14.

Answer 2

Problem Analysis

We are given that a blacksmith and his apprentice forge swords. The blacksmith makes 9 more swords per day than the apprentice. The blacksmith worked for 4 days, while the apprentice worked for 10 days. In the end, the blacksmith made 6 more swords than the apprentice. We need to determine how many swords the blacksmith and the apprentice make per day.

Solution

Let's assume that the apprentice makes x swords per day. Since the blacksmith makes 9 more swords per day than the apprentice, the blacksmith makes x + 9 swords per day.

According to the given information, the blacksmith worked for 4 days and made 6 more swords than the apprentice. Therefore, we can set up the following equation:

4 * (x + 9) = 10 * x + 6

Simplifying the equation:

4x + 36 = 10x + 6

Rearranging the equation:

4x - 10x = 6 - 36

-6x = -30

Dividing both sides of the equation by -6:

x = 5

Therefore, the apprentice makes 5 swords per day, and the blacksmith makes 5 + 9 = 14 swords per day.

Answer

The blacksmith makes 14 swords per day, while the apprentice makes 5 swords per day.