Question

Из яблок, груш и абрикосов изготовили сок. Гнруш в 3 раза больше, чем абрикосов, и на 500 г меньше, чем яблок. Всего понадобилось 2 кг яблок и груш. Сколько Килограммов абрикосов и сколько килограммов яблок понадобится для изготовления сока? задачу надо решить с помощью уровнения помагите

Answer 1

Могу решить без уровнения эту задачу

Answer 2

Problem Analysis

We are given that a juice is made from apples, pears, and apricots. The quantity of pears is three times greater than the quantity of apricots and 500 grams less than the quantity of apples. The total quantity of apples and pears used is 2 kilograms. We need to determine how many kilograms of apricots and apples are needed to make the juice.

Solution

Let's assume: - The quantity of apricots is A kilograms. - The quantity of apples is X kilograms. - The quantity of pears is 3A kilograms.

According to the given information: - The quantity of pears is 500 grams less than the quantity of apples: 3A = X - 0.5. - The total quantity of apples and pears used is 2 kilograms: X + 3A = 2.

We can solve this system of equations to find the values of A and X.

Solving the System of Equations

We have the following equations: 1. 3A = X - 0.52. X + 3A = 2

We can solve this system of equations using substitution or elimination method. Let's use the elimination method.

Multiply equation 1 by 3 to eliminate A: 3. 9A = 3X - 1.5

Now, subtract equation 2 from equation 3: 4. 9A - (X + 3A) = 3X - 1.5 - 2 5. 6A - X = 3X - 3.5

Rearrange equation 5: 6. 4X + 6A = 3.5

Now, substitute the value of X from equation 1 into equation 6: 7. 4(3A + 0.5) + 6A = 3.5 8. 12A + 2 + 6A = 3.5 9. 18A = 1.5 10. A = 1.5 / 18 11. A = 0.0833 (rounded to four decimal places)

Substitute the value of A into equation 1 to find X: 12. 3(0.0833) = X - 0.5 13. 0.25 = X - 0.5 14. X = 0.25 + 0.5 15. X = 0.75

Therefore, we need approximately 0.0833 kilograms of apricots and 0.75 kilograms of apples to make the juice.

Answer

To make the juice, approximately 0.0833 kilograms of apricots and 0.75 kilograms of apples are needed.

Please note that the values are rounded to four decimal places for simplicity.