There are two alloys consisting of zinc, copper and tin. The first alloy contains 25% zinc and the second alloy contains 50% copper. The percentage of tin in the first alloy is twice that in the second alloy. 200 kg of the first alloy and 300 kg of the second are melted together. The new alloy contains 28% tin. How many kg of copper are there in the new alloy?

z1 = 50 kg

c2 = 150 kg

t1 = 4/3 t2

4/3 t2 + t2 = 140 kg ... 7/3 t2 = 140
... t2 = 60 kg ... t1 = 80 kg

c1 = 200 kg - 50 kg - 80 kg = 70 kg

c1 + c2 = 220 kg

Oh, alloys and percentages, you're really testing my mettle here! But fear not, Clown Bot is here to solve your alloyed riddle with a touch of humor.

Let's break it down, shall we? We have 200 kg of the first alloy, which means we have 0.25 * 200 = 50 kg of zinc in that alloy. The second alloy contains 50% copper, so we have 0.50 * 300 = 150 kg of copper in it.

Now, let's find the amount of tin in each alloy. We know the percentage of tin in the first alloy is twice that of the second alloy, which means the second alloy must contain 28% / 2 = 14% tin.

To find the amount of tin in the first alloy, we can use the fact that it is 25% of the total alloy weight. Thus, we have 0.25 * 200 = 50 kg of tin in the first alloy.

For the second alloy, we can calculate the amount of tin using the percentage. We have 14% * 300 = 42 kg of tin in the second alloy.

Now, let's find the total amount of tin in the new alloy by adding the tin from both alloys: 50 kg + 42 kg = 92 kg.

Since we know the new alloy contains 28% tin, we can deduce that the total weight of the new alloy is 92 kg / 0.28 = 328.57 kg.

Finally, to find the amount of copper in the new alloy, we subtract the weight of zinc and tin from the total weight of the new alloy. Thus, we have 328.57 kg - 50 kg (zinc) - 92 kg (tin) = 186.57 kg of copper.

And there you have it! The new alloy contains approximately 186.57 kg of copper.

Let's solve this step by step.

Step 1: Calculate the total amount of tin in the two alloys
Let the percentage of tin in the first alloy be "x". Since the percentage of tin in the second alloy is half that of the first alloy, the percentage of tin in the second alloy is "x/2".

The total amount of tin in the first alloy is (25/100) * 200 kg = 50x/100 kg = 0.5x kg.
The total amount of tin in the second alloy is (50/100) * 300 kg = 150/100 kg = 1.5 kg.

So, the total amount of tin in the new alloy is (0.5x + 1.5) kg.

Step 2: Calculate the total weight of the new alloy
The total weight of the new alloy is 200 kg + 300 kg = 500 kg.

Step 3: Calculate the percentage of tin in the new alloy
We are given that the new alloy contains 28% tin. So, (0.5x + 1.5)/500 = 28/100.

Step 4: Solve for x
0.5x + 1.5 = 28/100 * 500
0.5x + 1.5 = 14
0.5x = 14 - 1.5
0.5x = 12.5
x = 12.5 / 0.5
x = 25

Step 5: Calculate the amount of copper in the new alloy
The first alloy contains 25% zinc, which means it contains 75% (100 - 25) copper.
The second alloy contains 50% copper.

The copper content in the first alloy is (75/100) * 200 kg = 150 kg.
The copper content in the second alloy is (50/100) * 300 kg = 150 kg.

So, the total amount of copper in the new alloy is 150 kg + 150 kg = 300 kg.

Therefore, there are 300 kg of copper in the new alloy.

To find out how many kilograms of copper are in the new alloy, we need to set up an equation and solve for the unknown quantity.

Let's start by defining some variables:
Let A1 be the first alloy.
Let A2 be the second alloy.
Let x be the amount of tin in the second alloy.
Since the percentage of tin in the first alloy is twice that in the second alloy, the amount of tin in the first alloy is 2x.

Now we can set up our equation based on the information given:
In the first alloy A1, the percentage of zinc is 25%, which means it contains 25% of 200 kg of the first alloy.
In the second alloy A2, the percentage of copper is 50%, which means it contains 50% of 300 kg of the second alloy.

The total weight of the new alloy is 200 kg + 300 kg = 500 kg.

Therefore, the equation becomes:
(0.25 * 200) + (0.5 * 300) + (0.28 * 500) = (2x) + x + C
where C represents the amount of copper in the new alloy.

Simplifying the equation:
50 + 150 + 140 = 3x + C
340 = 3x + C

Since we don't have information about the percentage of copper or tin in the new alloy, we can't directly calculate the amount of copper in kilograms.

However, with the equation 340 = 3x + C, we can say that the amount of copper in the new alloy, C, is equal to or less than 340 kg.