Question

Задача.Мама купила 16 мужских носовых платков и 24 женских по одинаковой цене.За женские носовые платки она заплатила на 24 рубля больше.Сколько стоила вся покупка?

Answer 1

Вся покупка стоила 40 рублей

Answer 2

Problem Analysis

We are given that a mother bought 16 men's handkerchiefs and 24 women's handkerchiefs at the same price. The total cost of the women's handkerchiefs was 24 rubles more than the men's handkerchiefs. We need to find the total cost of the purchase.

Solution

Let's assume the cost of each men's handkerchief is x rubles. Since the cost of each women's handkerchief is 24 rubles more, the cost of each women's handkerchief is x + 24 rubles.

To find the total cost of the purchase, we need to calculate the sum of the costs of all the handkerchiefs.

The total cost of the men's handkerchiefs can be calculated as 16 * x rubles.

The total cost of the women's handkerchiefs can be calculated as 24 * (x + 24) rubles.

Adding these two costs together will give us the total cost of the purchase.

Let's calculate it step by step:

1. The total cost of the men's handkerchiefs is 16 * x rubles. 2. The total cost of the women's handkerchiefs is 24 * (x + 24) rubles. 3. The total cost of the purchase is the sum of the costs of the men's and women's handkerchiefs: 16 * x + 24 * (x + 24) rubles.

Now, let's calculate the total cost of the purchase.

Calculation

The total cost of the purchase can be calculated as follows:

Total cost = 16 * x + 24 * (x + 24)

Simplifying the expression:

Total cost = 16x + 24x + 576

Combining like terms:

Total cost = 40x + 576

Now we need to find the value of x to calculate the total cost.

Finding the Value of x

To find the value of x, we can use the information given in the problem. It states that the cost of the women's handkerchiefs is 24 rubles more than the men's handkerchiefs.

Mathematically, we can represent this as:

x + 24 = x

Simplifying the equation:

24 = 0

This equation has no solution, which means there is no value of x that satisfies the given conditions. Therefore, we cannot calculate the total cost of the purchase.

Conclusion

Based on the information provided, we cannot determine the total cost of the purchase because there is no value of x that satisfies the given conditions.