Question

Катруся попросила маму купити до свого дня народження нові джинси, футболку й кросівки. Джинси коштують у 3 рази більше за футболку і на 150 грн менше від кросівок. Запитання до задачі:1. Скільки коштують кросівки, якщо футболка на 200 грн дешевша від джинсів?2. Скільки коштують усі речі, які придбала для Катрусі мама?3. У мами було 1000 грн. Скільки футболок за тією самою ціною вона зможе купити на ці гроші, якщо спочатку придбає джинси і кросівки?4. Чи вистачить мамі грошей, якщо замість додаткових футболок вона вирішить придбати ще одну пару джинсів зі скидкою ( друга пара джинсів - за півціни)?​

Answer 1

Ответ:

Український

1. Дізнаємося скільки коштують три футболки. Для цього, від вартості всієї покупки віднімемо вартість джинсів:

1940 руб. - 890 руб. = 1050 руб.

2. Дізнаємося скільки коштує одна футболка. Для цього, вартість трьох футболок розділимо на кількість футболок:

1050 руб. / 3 = 350 руб.

Відповідь: вартість однієї футболки - 350 руб.

Русский

1. Узнаем сколько стоят три футболки. Для этого, от стоимости всей покупки вычтем стоимость джинсов:

1940 руб. - 890 руб. = 1050 руб.

2. Узнаем сколько стоит одна футболка. Для этого, стоимость трех футболок разделим на количество футболок:

1050 руб. / 3 = 350 руб.

Ответ: стоимость одной футболки - 350 руб.

Answer 2

Ответ:

Пошаговое объяснение:

1 . 450

Answer 3

Problem Analysis

To solve this problem, we need to determine the prices of the jeans, t-shirt, and sneakers, as well as calculate the total cost of all the items. We also need to find out how many t-shirts the mother can buy with the remaining money if she first purchases the jeans and sneakers. Finally, we need to determine if the mother will have enough money to buy an additional pair of jeans at a discounted price.

Solution

Let's break down the information given in the problem statement and solve each question step by step.

1. The jeans cost 3 times more than the t-shirt and 150 UAH less than the sneakers. 2. We need to find the cost of the sneakers if the t-shirt is 200 UAH cheaper than the jeans. 3. We need to calculate the total cost of all the items purchased by the mother. 4. The mother has 1000 UAH. We need to determine how many t-shirts she can buy at the same price if she first purchases the jeans and sneakers. 5. Finally, we need to check if the mother will have enough money to buy an additional pair of jeans at a discounted price.

Let's solve each question one by one.

Question 1: Cost of the sneakers

Given that the t-shirt is 200 UAH cheaper than the jeans, we can set up the following equation:

jeans = t-shirt + 200

We also know that the jeans cost 150 UAH less than the sneakers:

jeans = sneakers - 150

By substituting the value of jeans from the first equation into the second equation, we can solve for the cost of the sneakers:

t-shirt + 200 = sneakers - 150

sneakers = t-shirt + 350

Therefore, the cost of the sneakers is t-shirt + 350 UAH.

Question 2: Total cost of all items

To calculate the total cost of all the items, we need to add the prices of the jeans, t-shirt, and sneakers:

Total cost = jeans + t-shirt + sneakers

Since we know that the jeans cost 3 times more than the t-shirt and 150 UAH less than the sneakers, we can express the prices in terms of the t-shirt:

jeans = 3 * t-shirt sneakers = t-shirt + 350

Substituting these values into the equation for the total cost, we get:

Total cost = 3 * t-shirt + t-shirt + t-shirt + 350

Simplifying the equation, we have:

Total cost = 6 * t-shirt + 350

Therefore, the total cost of all the items is 6 * t-shirt + 350 UAH.

Question 3: Number of t-shirts the mother can buy

The mother has 1000 UAH to spend. If she first purchases the jeans and sneakers, she will have the remaining amount to spend on t-shirts.

Let's calculate the remaining amount after purchasing the jeans and sneakers:

Remaining amount = 1000 - (jeans + sneakers)

Substituting the values of jeans and sneakers, we have:

Remaining amount = 1000 - (3 * t-shirt + t-shirt + 350)

Simplifying the equation, we get:

Remaining amount = 1000 - 4 * t-shirt - 350

Therefore, the remaining amount is 650 - 4 * t-shirt UAH.

To find out how many t-shirts the mother can buy at the same price, we need to divide the remaining amount by the price of one t-shirt:

Number of t-shirts = (650 - 4 * t-shirt) / t-shirt

Simplifying the equation, we have:

Number of t-shirts = 650 / t-shirt - 4

Therefore, the mother can buy 650 / t-shirt - 4 t-shirts.

Question 4: Additional pair of jeans

If the mother decides to buy an additional pair of jeans at a discounted price, we need to check if she has enough money.

Let's calculate the cost of the discounted pair of jeans:

Discounted jeans = jeans / 2

Substituting the value of jeans, we have:

Discounted jeans = 3 * t-shirt / 2

Therefore, the cost of the discounted pair of jeans is 3 * t-shirt / 2 UAH.

To check if the mother has enough money, we need to compare the cost of the discounted jeans with the remaining amount:

Is enough money = Remaining amount >= Discounted jeans

Substituting the values, we have:

Is enough money = 650 - 4 * t-shirt >= 3 * t-shirt / 2

Simplifying the equation, we get:

Is enough money = 1300 - 8 * t-shirt >= 3 * t-shirt

Therefore, the mother will have enough money to buy an additional pair of jeans at a discounted price if 1300 - 8 * t-shirt >= 3 * t-shirt.

Summary

To summarize the answers to the questions:

1. The cost of the sneakers is t-shirt + 350 UAH. 2. The total cost of all the items is 6 * t-shirt + 350 UAH. 3. The mother can buy 650 / t-shirt - 4 t-shirts at the same price. 4. The mother will have enough money to buy an additional pair of jeans at a discounted price if 1300 - 8 * t-shirt >= 3 * t-shirt.

Please note that the values of t-shirt and jeans are not provided in the problem statement, so we cannot calculate the exact prices. However, the equations and formulas provided above can be used to solve the problem once the values are known.

Answer 4

Problem Analysis

To solve this problem, we need to determine the prices of the jeans, t-shirt, and sneakers, as well as calculate the total cost of all the items. We also need to find out how many t-shirts the mother can buy with the given amount of money if she first purchases the jeans and sneakers. Finally, we need to determine if the mother will have enough money to buy an additional pair of jeans at a discounted price instead of extra t-shirts.

Solution

Let's break down the information given in the problem statement:

1. The jeans cost 3 times more than the t-shirt. 2. The jeans cost 150 gryvnias less than the sneakers. 3. The t-shirt is 200 gryvnias cheaper than the jeans. 4. The mother has 1000 gryvnias.

Calculating the Prices

Let's assign variables to the prices of the jeans, t-shirt, and sneakers: - Let x be the price of the t-shirt. - The jeans cost 3 times more than the t-shirt, so the price of the jeans is 3x. - The jeans cost 150 gryvnias less than the sneakers, so the price of the sneakers is 3x + 150.

Answering the Questions

1. To find the price of the sneakers, we need to substitute the given price of the t-shirt (200 gryvnias cheaper than the jeans) into the equation for the jeans. Let's solve for x: - 3x - 200 = 3x + 150 - Subtracting 3x from both sides, we get: -200 = 150 - This equation has no solution, which means there is an error in the problem statement. Please double-check the given information.

2. To calculate the total cost of all the items, we need to add the prices of the jeans, t-shirt, and sneakers: - Total cost = jeans + t-shirt + sneakers - Total cost = 3x + x + (3x + 150) - Simplifying, we get: Total cost = 7x + 150

3. To find out how many t-shirts the mother can buy with 1000 gryvnias, we need to divide the total amount of money by the price of the t-shirt: - Number of t-shirts = 1000 gryvnias / price of t-shirt - Number of t-shirts = 1000 / x

4. To determine if the mother will have enough money to buy an additional pair of jeans at a discounted price, we need to calculate the price of the discounted jeans and compare it to the remaining amount of money: - The discounted price of the jeans is half the original price, so the price of the discounted jeans is (3x) / 2. - The remaining amount of money after purchasing the jeans and sneakers is 1000 - (3x + (3x + 150)). - If the remaining amount of money is greater than or equal to the price of the discounted jeans, then the mother will have enough money.

Please note that there is an error in the problem statement, as the equation for finding the price of the sneakers does not have a solution.