Question

Белла сидела одна и делала фигурки из полимерной глины, по 5 штук за полчаса. Затем пришёл Макс, и работа пошла быстрее. В итоге, работая совместно, Белла и Макс за 2 часа сделали ещё 44 фигурки. Сколько фигурок за полчаса изготавливал Макс?

Answer 1

Ответ:

он изготовил 6 фигурок за пол часа

Answer 2

Problem Analysis

Bella initially made 5 figurines in half an hour. When Max joined her, they were able to make an additional 44 figurines in 2 hours. We need to determine how many figurines Max made in half an hour.

Solution

Let's assume that Max made x figurines in half an hour. Since Bella and Max worked together for 2 hours, we can calculate the total number of figurines they made in 2 hours by adding Bella's and Max's individual rates of work.

Bella's rate of work is 5 figurines per half an hour, so in 2 hours, she would make: 2 hours * (5 figurines / 0.5 hours) = 20 figurines.

Max's rate of work is x figurines per half an hour, so in 2 hours, he would make: 2 hours * (x figurines / 0.5 hours) = 4x figurines.

Together, Bella and Max made 44 figurines in 2 hours, so we can set up the following equation: 20 figurines + 4x figurines = 44 figurines.

Simplifying the equation: 20 + 4x = 44.

Solving for x: 4x = 44 - 20, 4x = 24, x = 24 / 4, x = 6.

Therefore, Max made 6 figurines in half an hour.

Answer

Max made 6 figurines in half an hour.

Verification

To verify the answer, let's calculate the total number of figurines made by Bella and Max in 2 hours using the calculated value of x.

Bella made 5 figurines in half an hour, so in 2 hours, she made: 2 hours * (5 figurines / 0.5 hours) = 20 figurines.

Max made 6 figurines in half an hour, so in 2 hours, he made: 2 hours * (6 figurines / 0.5 hours) = 24 figurines.

The total number of figurines made by Bella and Max in 2 hours is: 20 figurines + 24 figurines = 44 figurines.

The calculated value matches the given information, so the answer is verified.