Question

абрикос в 4 раза,, а персик в 2 раза легче яблока.масса яблока на 50 грамм больше.чем масса абрикоса и персика.какова масса яблока,абрикоса,персика?

Answer 1

абрикос х/4

персик х/2

яблоко х

х-50=х/4+х/2=3х/4

(х-50)/1= (4х-200)/4=3х/4

4х-3х=200

х=200

яблоко 200гр

персик 200/2=100гр

абрикос 200/4=50гр

Answer 2

Calculation of the Mass of Apple, Apricot, and Peach

To calculate the mass of the apple, apricot, and peach, we can use the given information:

- The apricot is 4 times lighter than the apple. - The peach is 2 times lighter than the apple. - The mass of the apple is 50 grams more than the combined mass of the apricot and peach.

Let's assign variables to the masses of the apple, apricot, and peach:

- Let A be the mass of the apple. - Let B be the mass of the apricot. - Let P be the mass of the peach.

Based on the given information, we can write the following equations:

1. The apricot is 4 times lighter than the apple: B = (1/4)A. 2. The peach is 2 times lighter than the apple: P = (1/2)A. 3. The mass of the apple is 50 grams more than the combined mass of the apricot and peach: A = B + P + 50.

To find the values of A, B, and P, we can solve these equations simultaneously.

Substituting equation 1 and 2 into equation 3, we get:

(1/4)A + (1/2)A + 50 = A

Simplifying the equation:

(3/4)A + 50 = A

Multiplying both sides by 4 to eliminate the fraction:

3A + 200 = 4A

Subtracting 3A from both sides:

200 = A

Therefore, the mass of the apple (A) is 200 grams.

Substituting the value of A into equation 1 and 2, we can find the masses of the apricot (B) and peach (P):

1. B = (1/4)A = (1/4) * 200 = 50 grams 2. P = (1/2)A = (1/2) * 200 = 100 grams

So, the mass of the apple is 200 grams, the mass of the apricot is 50 grams, and the mass of the peach is 100 grams.

Please note that the sources provided did not contain specific information related to the calculation of the masses of apple, apricot, and peach. The calculation was done based on the given information and mathematical equations.