Question

В цветочный магазин привезли цветы. Надя может составить из них букеты за 40 мин, а Валя - за 35 мин. Они совместно составляли букеты за 14 мин, затем оставшуюся часть букетов составила Надя. За сколько минут девочки составили букеты?

Answer 1

если Надя составляет букеты из всех цветов за 40 минут, а Валя за 35 минут , то за одну минуту они составляют 1/40 и 1/35 от всех цветов соответственно. Высчитаем сколько букетов они составили от общего количества за 14 минут вместе

14/40 +14/35=98/280+112/280=210/280=3/4

оставшуюся 1/4  надя сделает за 40/4=10 минут

Значит Валя собирала букеты 14 минут а Надя 14+10=24 минуты

Answer 2

Problem Analysis

We are given that Nadia can arrange the flowers into bouquets in 40 minutes, Valya can do it in 35 minutes, and they worked together for 14 minutes to arrange some bouquets. We need to determine how long it took them to arrange all the bouquets.

Solution

Let's assume that the total number of bouquets is B.

We know that Nadia can arrange the bouquets in 40 minutes, so in 1 minute she can arrange 1/40 of the bouquets.

Similarly, Valya can arrange the bouquets in 35 minutes, so in 1 minute she can arrange 1/35 of the bouquets.

When they worked together for 14 minutes, they arranged a combined total of 14 * (1/40 + 1/35) bouquets.

The remaining bouquets were arranged by Nadia alone. Let's say she arranged x bouquets in the remaining time.

So, the equation becomes:

14 * (1/40 + 1/35) + x = B

We need to solve this equation to find the value of x, which represents the number of bouquets Nadia arranged in the remaining time.

Let's solve the equation:

14 * (1/40 + 1/35) + x = B

To simplify the equation, we can find a common denominator for 40 and 35, which is 280:

14 * (7/280 + 8/280) + x = B

14 * (15/280) + x = B

210/280 + x = B

Simplifying further:

3/4 + x = B

x = B - 3/4

So, Nadia arranged B - 3/4 bouquets in the remaining time.

Now, we need to find the time it took them to arrange all the bouquets. Since Nadia can arrange the bouquets in 40 minutes, we can calculate the time it took them as:

Time = (B - 3/4) * 40

Therefore, the girls took (B - 3/4) * 40 minutes to arrange all the bouquets.

Answer

The girls took (B - 3/4) * 40 minutes to arrange all the bouquets, where B represents the total number of bouquets.

Please note that the exact number of bouquets is not provided in the question, so we cannot determine the exact time it took them to arrange the bouquets.