Question

4 Во флористическую мастерскую поступили сухоцветы 156 ромашек , 234 васильков и 390 травинок. Мастера – флористы собрали из них больше 50 букетов разной формы, но при этом использовали одинаковое число сухоцветов каждого вида. Сколько букетов сделано? Сколько цветов каждого вида в одном букете?

Answer 1

Находим делители для каждого числа:
156=2*2*39
234=2*3*39
390=2*5*39
Теперь перемножаем общие делители для всех чисел:
2*39=78( 78 это наибольший общий делитель для всех чисел этих)
Итого букетов было 78.
А количество роз в каждом букете:
156/78=2 (по 2 чайные розы)
234/78=3(по 3 белых)
390/78=5(по 5 красных роз)
Всё очень просто решается.

Answer 2

Problem Analysis

We are given the following information: - 156 daisies - 234 cornflowers - 390 grasses - The florists made more than 50 bouquets of different shapes, using an equal number of dried flowers of each type.

We need to determine: - The number of bouquets made. - The number of each type of flower in each bouquet.

Solution

To find the number of bouquets made, we need to divide the total number of flowers by the number of each type of flower used in each bouquet.

Let's calculate the number of bouquets made: - The total number of flowers is 156 + 234 + 390 = 780. - Since an equal number of dried flowers of each type is used in each bouquet, we can divide the total number of flowers by the number of each type of flower used in each bouquet. Let's assume x is the number of each type of flower used in each bouquet. - Therefore, 156/x = 234/x = 390/x. - Solving this equation, we find that x = 6. - So, each bouquet contains 6 dried flowers of each type. - Now, we can calculate the number of bouquets made by dividing the total number of flowers by the number of each type of flower used in each bouquet: 780/6 = 130.

Therefore, 130 bouquets were made.

To find the number of each type of flower in each bouquet, we can simply use the value of x (which is 6) that we found earlier.

Therefore, each bouquet contains 6 daisies, 6 cornflowers, and 6 grasses.

Answer

Based on the given information, 130 bouquets were made, and each bouquet contains 6 daisies, 6 cornflowers, and 6 grasses.