Question

Сплав містить мідь, цинк і нікель, маси яких відносяться як 4 : 15 : 6. Яка маса цього сплаву, якщо міді та цинку в ньому разом 760 г?

Answer 1

4+15=19ч медь и цинк
19*6=25ч-весь сплав
19ч-760г
25ч-хг
х=25*760:19=25*40=1000г=1кг-весь сплав

Answer 2

Calculation of the Alloy's Mass

To calculate the mass of the alloy, we need to determine the mass of each component (copper, zinc, and nickel) based on their given ratios and total mass.

Given: - Copper and zinc together in the alloy: 760 g - Ratio of copper to zinc to nickel: 4:15:6

Let's assign variables to the masses of copper, zinc, and nickel in the alloy: - Mass of copper: x g - Mass of zinc: y g - Mass of nickel: z g

According to the given ratio, we can write the following equations: - x/y = 4/15 (Equation 1) - x + y + z = 760 (Equation 2)

To solve these equations, we can use substitution or elimination. Let's use substitution:

From Equation 1, we can express x in terms of y: - x = (4/15) * y

Substituting this value of x into Equation 2, we get: - (4/15) * y + y + z = 760

Simplifying the equation: - (4/15) * y + (15/15) * y + z = 760 - (19/15) * y + z = 760

Now, we have two variables, y and z, and one equation. To solve for y, we need another equation. Unfortunately, the given information does not provide a direct equation for the mass of nickel. Therefore, we cannot determine the exact masses of copper, zinc, and nickel in the alloy.

However, we can make an assumption to proceed with the calculation. Let's assume that the mass of nickel is negligible compared to the masses of copper and zinc. In this case, we can ignore the term (19/15) * y in the equation and solve for y:

- y + z = 760

Since the ratio of copper to zinc is 4:15, we can assume that the mass of copper is four times the mass of zinc. Therefore, we can write:

- y = (15/4) * x

Substituting this value of y into the equation y + z = 760, we get:

- (15/4) * x + z = 760

Now, we have two variables, x and z, and one equation. Unfortunately, we still cannot determine the exact masses of copper, zinc, and nickel in the alloy.

In conclusion, without additional information or assumptions, we cannot calculate the exact mass of the alloy or the individual masses of copper, zinc, and nickel in the alloy.

Please note that the given information does not provide enough data to solve the problem accurately.