Question

Петрик і Миколка майструють моделі корабликів. Петрик може виготовити за день на 2 моделі більше, ніж Миколка. Відомо, що для виготовлення 16 моделей Петрик витрачає на 4 дні менше, ніж Миколка. Скільки корабликів за день виготовляє кожен хлопчик? УМОЛЯЮ ПОМОГИТЕ НУЖНО СИСТЕМОЙ УРАВНЕНИЙ ДАМ 20

Answer 1

Ответ:

2 кораблики, 4 кораблики

Объяснение:

Нехай Петрик за день виготовляє х корабликів, Миколка у корабликів, тоді за умовою

х-у=2

16/у - 16/х = 4

х=у+2

16/у - 16/(у+2) = 4

х=у+2

16у+32-164у-4у²-8у=0; у²+2у-8=0. За теоремою Вієта у=-4 (не підходить)   у=2

Миколка виготовляє 2 кораблики за день Петрик 2+2=4 кораблики.

Answer 2

To solve this problem, let's assign variables to the number of models each boy can make in a day. Let's say Petrik can make x models per day, and Mykolka can make y models per day.

From the given information, we know that Petrik can make 2 more models per day than Mykolka. So we can write the equation:

x = y + 2 ---(Equation 1)

We also know that Petrik can make 16 models in 4 days less than Mykolka. So we can write another equation:

16/x = 16/(y+4) ---(Equation 2)

Now, let's solve these equations to find the values of x and y.

Solving the Equations:

From Equation 1, we can rewrite it as:

x - y = 2 ---(Equation 3)

Now, let's solve Equation 3 for x:

x = y + 2

Substitute this value of x in Equation 2:

16/(y + 2) = 16/(y + 4)

Cross-multiply:

16(y + 4) = 16(y + 2)

Simplify:

16y + 64 = 16y + 32

Subtract 16y from both sides:

64 = 32

This equation is not possible to solve because it leads to a contradiction. Therefore, there is no solution to this problem based on the given information.

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