Question

маша съела 10 яблок за 4 дня в каждый следуюший день она съела яблок меньше чем в предыдуий. сколько яблок могла съесть маша каждый день. нужно подробное решение

Answer 1

Problem Analysis

We are given that Masha ate 10 apples over the course of 4 days, and each subsequent day she ate fewer apples than the previous day. We need to determine how many apples Masha ate each day.

Solution

Let's break down the problem step by step:

1. We know that Masha ate a total of 10 apples over 4 days. To find the average number of apples she ate each day, we divide the total number of apples by the number of days: 10 apples / 4 days = 2.5 apples per day.

2. Since Masha ate fewer apples each subsequent day, we can assume that she ate a decreasing number of apples each day. Let's assign variables to represent the number of apples she ate on each day: - Day 1: x apples - Day 2: x - 1 apples - Day 3: x - 2 apples - Day 4: x - 3 apples

3. We can now set up an equation to represent the total number of apples Masha ate over the 4 days: - x + (x - 1) + (x - 2) + (x - 3) = 10

4. Simplifying the equation, we get: - 4x - 6 = 10

5. Solving for x, we have: - 4x = 16 - x = 4

Answer

Masha ate 4 apples on the first day, 3 apples on the second day, 2 apples on the third day, and 1 apple on the fourth day.

Explanation

Let's verify our solution by substituting the values back into the equation: - 4 + (4 - 1) + (4 - 2) + (4 - 3) = 10 - 4 + 3 + 2 + 1 = 10 - 10 = 10

Our solution satisfies the equation, so it is correct.