Question

Абрикос в 4 раза, а персик в 2 раза легче яблока, Масса яблока на 50 гр больше, чем масса абрикоса и персика ,Решение, какова масса яблока, персика, абрикоса?

Answer 1

абрикос -  х гр

персик  - 2х гр

яблоко - 4х гр

4х + 50 = х + 2х

4х -3х = 50

х = 50 гр - масса абрикоса

2 * 50 = 100 гр - масса персика

4 * 50 = 200 гр масса яблока

Answer 2

Problem Analysis

We are given the following information: - The weight of an apricot is 4 times less than the weight of an apple. - The weight of a peach is 2 times less than the weight of an apple. - The weight of the apple is 50 grams more than the combined weight of the apricot and the peach.

We need to find the weights of the apple, peach, and apricot.

Solution

Let's assume the weight of the apple is A grams, the weight of the peach is P grams, and the weight of the apricot is B grams.

From the given information, we can write the following equations: 1. B = A/4 (The weight of the apricot is 4 times less than the weight of the apple) 2. P = A/2 (The weight of the peach is 2 times less than the weight of the apple) 3. A = B + P + 50 (The weight of the apple is 50 grams more than the combined weight of the apricot and the peach)

To find the weights of the apple, peach, and apricot, we can solve these equations simultaneously.

Substituting the values of B and P from equations 1 and 2 into equation 3, we get: A = (A/4) + (A/2) + 50

Simplifying the equation: A = (A/4) + (A/2) + 50 A = (A/4) + (2A/4) + 50 A = (3A/4) + 50

Multiplying both sides of the equation by 4 to eliminate the fraction: 4A = 3A + 200

Subtracting 3A from both sides of the equation: A = 200

Now that we have the weight of the apple, we can substitute this value into equations 1 and 2 to find the weights of the apricot and peach.

From equation 1: B = A/4 = 200/4 = 50

From equation 2: P = A/2 = 200/2 = 100

Therefore, the weight of the apple is 200 grams, the weight of the apricot is 50 grams, and the weight of the peach is 100 grams.

Answer

The weight of the apple is 200 grams, the weight of the peach is 100 grams, and the weight of the apricot is 50 grams.