Question

за 9 одиннаковых шапочек заплатил 1100 рублей и еще несколько рублей (меньше 100). За тринадцать таких же шапочек заплатили 1500 рублей и еще несколько рублей (меньше 100). Сколько стоит одна шапочка?​

Answer 1

9 шапочек от 1100 до 1200

Стоимость одной шапочки

1100/9 < шапочка < 1200/9

122.22 < шапочка < 133.33

13 шапочек

1588.89 < 13 шапочек < 1733.33

1600/13 = 123.07

значит шапочка Стоит от 122.22 руб до 123.07 руб

если нужно целое число, то 123 рубля

9*123 = 1107

13*123 = 1599

Answer 2

Calculation of the Cost of One Hat

To calculate the cost of one hat, let's analyze the given information. We are provided with two scenarios:

1. For 9 identical hats, the total cost is 1100 rubles, plus an additional amount less than 100 rubles. 2. For 13 identical hats, the total cost is 1500 rubles, plus an additional amount less than 100 rubles.

Let's assume the cost of one hat is x rubles.

Based on the given information, we can set up the following equations:

Equation 1: 9x + additional amount = 1100 rubles Equation 2: 13x + additional amount = 1500 rubles

To find the cost of one hat, we need to solve these equations simultaneously.

Subtracting Equation 1 from Equation 2, we get:

(13x + additional amount) - (9x + additional amount) = 1500 rubles - 1100 rubles

Simplifying the equation, we have:

4x = 400 rubles

Dividing both sides of the equation by 4, we find:

x = 100 rubles

Therefore, the cost of one hat is 100 rubles.

Please note that the additional amount mentioned in the question is not specified, so we cannot determine its exact value. However, we can conclude that the cost of one hat is 100 rubles based on the given information.