
задача- мама купила 2 кг яблок по цене 45 рублей за килограмм и в 3 раза больше помидоров по цене
на 9 рублей больше, чем цена яблок.Сколько сдачи она должна получить с 500 рублей?

Ответы на вопрос

2*45=90(р) - цена 2кг яблок
2*3=6(кг) - кол-во помидоров
45+9=54(р) - цена за 1кг помидоров
54*6=324
324+90=414(р) - заплатила мама
500-414=86(р) - сдача



2*45=90 руб - цена яблок
2*3=6 кг - помидоры
45+9=54 руб - цена помидор
6*54=324 руб - цена помидор
500-(90+324)=86 руб - сдача



Problem Analysis
To solve this problem, we need to calculate the total cost of the apples and tomatoes and then determine the change that the mother should receive from 500 rubles.Calculating the Cost of Apples and Tomatoes
The mother bought 2 kg of apples at a price of 45 rubles per kilogram. Therefore, the cost of the apples can be calculated as follows:Cost of apples = 2 kg * 45 rubles/kg = 90 rubles.
The mother bought 3 times more tomatoes than apples, and the price of tomatoes is 9 rubles more than the price of apples. Let's assume the price of tomatoes is x rubles per kilogram. We can set up the following equation to find the price of tomatoes:
3 * 2 kg * (x rubles/kg) = 90 rubles + 9 rubles.
Simplifying the equation, we get:
6x = 99.
Solving for x, we find:
x = 99 / 6 = 16.5 rubles/kg.
Therefore, the price of tomatoes is 16.5 rubles per kilogram.
Calculating the Total Cost
To calculate the total cost, we need to find the cost of 3 times the weight of apples at the price of tomatoes. Since the mother bought 2 kg of apples, she bought 3 * 2 = 6 kg of tomatoes. The cost of tomatoes can be calculated as follows:Cost of tomatoes = 6 kg * 16.5 rubles/kg = 99 rubles.
Therefore, the total cost of the apples and tomatoes is:
Total cost = Cost of apples + Cost of tomatoes = 90 rubles + 99 rubles = 189 rubles.
Calculating the Change
The mother paid with 500 rubles, so the change she should receive can be calculated as follows:Change = Amount paid - Total cost = 500 rubles - 189 rubles = 311 rubles.
Therefore, the mother should receive 311 rubles as change.
Answer
The mother should receive 311 rubles as change from 500 rubles.

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