Question

Четверо друзей купили лодку . Первый внес половину суммы, внесенный остальными, второй треть суммы, внесенной остальными, третий четверть суммы,внесенной остальными , а четвертый внес 1300 рублей . Сколько стоит лодка

Answer 1

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Answer 2

Calculation of the Boat's Cost

To calculate the cost of the boat, let's break down the information provided:

- The first friend contributed half of the total amount. - The second friend contributed one-third of the remaining amount. - The third friend contributed one-fourth of the remaining amount. - The fourth friend contributed 1300 rubles.

To find the total cost of the boat, we need to work backward from the fourth friend's contribution.

Let's assign a variable to the total cost of the boat, which we'll call x.

1. The fourth friend contributed 1300 rubles, which is equal to x - (1/2)x - (1/2)(2/3)x - (1/2)(2/3)(3/4)x.

Simplifying the equation:

1300 = x - (1/2)x - (1/2)(2/3)x - (1/2)(2/3)(3/4)x

To solve this equation, we can use algebraic manipulation:

1300 = x - (1/2)x - (1/3)x - (1/4)x

Combining like terms:

1300 = x(1 - 1/2 - 1/3 - 1/4)

To simplify further, we can find a common denominator:

1300 = x(12/12 - 6/12 - 4/12 - 3/12)

1300 = x(12 - 6 - 4 - 3)/12

1300 = x(12 - 13)/12

1300 = x(-1)/12

Multiplying both sides by -12:

-12 * 1300 = x(-1) * -12/12

-15600 = x

Therefore, the total cost of the boat is 15600 rubles.

Please note that the calculation assumes that the contributions are additive and that there are no other costs or factors involved.