Question

Учитель решил раздать ученикам конфеты. Если каждому ученику давать по 4 конфеты, то не розданными останутся 17 конфет. а если раздавать по 5 конфет, то четверым не хватит(им не достанется ни одной конфеты). Сколько у учителя было конфет? А сколько учеников? срочно помогите♡​

Answer 1

Ответ:

4*5=20

20+17=37

37*4+17=165

37*5-20=165

Учеников 37

Конфет 165

Пошаговое объяснение:

Answer 2

Problem Analysis

To solve this problem, we need to find the number of candies the teacher had and the number of students in the class. We are given two scenarios: 1. If each student receives 4 candies, there will be 17 candies left undistributed. 2. If each student receives 5 candies, four students will not receive any candies.

Let's solve this step by step.

Solution

Let's assume the number of candies the teacher had is C and the number of students is S.

1. If each student receives 4 candies, there will be 17 candies left undistributed. We can represent this scenario with the equation: - C - 4S = 17 [[1]]

2. If each student receives 5 candies, four students will not receive any candies. We can represent this scenario with the equation: - C - 5(S-4) = 0 [[2]]

To solve these equations, we can use a method called substitution.

Solving the Equations

Let's solve the equations using substitution.

From equation [[1]], we can express C in terms of S: - C = 4S + 17 [[3]]

Substituting equation [[3]] into equation [[2]], we get: - 4S + 17 - 5(S-4) = 0

Simplifying the equation: - 4S + 17 - 5S + 20 = 0 - -S + 37 = 0 - S = 37

Now that we have the value of S, we can substitute it back into equation [[3]] to find the value of C: - C = 4(37) + 17 - C = 148 + 17 - C = 165

Answer

Based on the given information, the teacher had 165 candies and there were 37 students in the class.

I hope this helps! Let me know if you have any further questions.