Question

Одна упаковка изюма весом 10 килограммов стоит 900 рублей. Если общий вес купленного изюма не менее 100 килограммов,то цена каждой упаковки снижается на 10%. Какое максимальное число упаковок изюма можно купит на 10000 рублей?

Answer 1

на 10000 можно купить 12 упаковок изюма

900/100=9

9*10=90(1%)

900-90=810

10000/810=12(ещё есть остаток)

Answer 2

900*100=90000

90000/10=9000

это значит можно купить 101 килограмм

Answer 3

Problem Analysis

We are given that one package of raisins weighing 10 kilograms costs 900 rubles. If the total weight of the purchased raisins is at least 100 kilograms, the price of each package is reduced by 10%. We need to determine the maximum number of packages of raisins that can be purchased for 10,000 rubles.

Solution

To solve this problem, we can follow these steps: 1. Calculate the price reduction for each package when the total weight is at least 100 kilograms. 2. Determine the maximum number of packages that can be purchased for 10,000 rubles.

Let's calculate the price reduction first.

Price Reduction Calculation

We are given that the price of each package is reduced by 10% when the total weight is at least 100 kilograms. This means that the price of each package will be 90% of the original price.

Let's calculate the new price of each package after the reduction.

Original price of one package = 900 rubles New price of one package = 90% of the original price = 900 * 0.9 = 810 rubles

Now that we have the new price of each package, let's determine the maximum number of packages that can be purchased for 10,000 rubles.

Maximum Number of Packages Calculation

We are given a budget of 10,000 rubles. We need to determine the maximum number of packages that can be purchased within this budget.

Let's calculate the maximum number of packages that can be purchased.

Maximum number of packages = Budget / Price per package

Budget = 10,000 rubles Price per package = 810 rubles

Maximum number of packages = 10,000 / 810 = 12.35

Since we cannot purchase a fraction of a package, the maximum number of packages that can be purchased is 12.

Answer

The maximum number of packages of raisins that can be purchased for 10,000 rubles is 12.

Verification

To verify the solution, we can calculate the total cost of purchasing 12 packages of raisins and check if it is within the budget of 10,000 rubles.

Total cost of purchasing 12 packages = Number of packages * Price per package = 12 * 810 = 9720 rubles

The total cost of purchasing 12 packages is 9720 rubles, which is within the budget of 10,000 rubles.

Therefore, the solution is verified.