Question

В новогодний детский подарок кладут 4 вида конфет: мармелад, карамель, вафельные конфеты и трюфели. Карамельки составляют 4/13 от общего количества конфет. Трюфелей и вафельных конфет кладут по 2/5 и 3/4 ​ от карамелек соответственно. Сколько конфет каждого типа кладут в подарок, если всего в подарке 65 конфет?

Answer 1

Ответ:

20 карамелек 8 трюфелей 15 вафельных конфет и 22 мармеладки

Пошаговое объяснение:

Answer 2

Ответ:

Пошаговое объяснение:

1)

Карамельки:

65*4/13=20конфет.

2)

20*2/5=8 конфет (трюфели)

20*3/4=15 конфет.(вафельные конфеты)

3) Мармелад:

65-20-8-15=22 конфеты.

Answer 3

Problem Analysis

We are given that there are four types of candies in a New Year's children's gift: jelly candies, caramels, wafer candies, and truffles. The proportion of caramels is 4/13 of the total number of candies. The proportion of truffles and wafer candies is 2/5 and 3/4 of the number of caramels, respectively. We need to determine the number of candies of each type in the gift, given that there are a total of 65 candies.

Solution

Let's solve this problem step by step.

1. Let's start by finding the number of caramels in the gift. We are given that the proportion of caramels is 4/13 of the total number of candies. We can set up the following equation to represent this:

Number of caramels = (4/13) * Total number of candies

Substituting the given total number of candies as 65, we can calculate the number of caramels:

Number of caramels = (4/13) * 65

Calculating this, we find that the number of caramels is 20.

2. Next, let's find the number of truffles in the gift. We are given that the proportion of truffles is 2/5 of the number of caramels. We can set up the following equation to represent this:

Number of truffles = (2/5) * Number of caramels

Substituting the calculated number of caramels as 20, we can calculate the number of truffles:

Number of truffles = (2/5) * 20

Calculating this, we find that the number of truffles is 8.

3. Finally, let's find the number of wafer candies in the gift. We are given that the proportion of wafer candies is 3/4 of the number of caramels. We can set up the following equation to represent this:

Number of wafer candies = (3/4) * Number of caramels

Substituting the calculated number of caramels as 20, we can calculate the number of wafer candies:

Number of wafer candies = (3/4) * 20

Calculating this, we find that the number of wafer candies is 15.

4. To find the number of jelly candies, we can subtract the sum of the numbers of caramels, truffles, and wafer candies from the total number of candies:

Number of jelly candies = Total number of candies - (Number of caramels + Number of truffles + Number of wafer candies)

Substituting the given total number of candies as 65 and the calculated numbers of caramels, truffles, and wafer candies, we can calculate the number of jelly candies:

Number of jelly candies = 65 - (20 + 8 + 15)

Calculating this, we find that the number of jelly candies is 22.

Answer

Therefore, in the New Year's children's gift with a total of 65 candies, the number of each type of candy is as follows: - Jelly candies: 22 - Caramels: 20 - Wafer candies: 15 - Truffles: 8