Question

Please solve this question​

Answer 1

Answer:

Step-by-step explanation:

Use ALLIGATION to determine the ratio of brass to bronze in the fused mass.  

Brass = 0% tin.  

Bronze = 16% tin.  

Fused mass = 10% tin.  

Step 1: Plot the 3 percentages on a number line, with the percentages in brass and bronze (0% and 16%) on the ends and the percentage in the fused mass (10%) in the middle.  

Brass 0%----------------10%-------------------16% Bronze  

Step 2: Calculate the distances between the percentages.  

Brass 0%--------10------10%-------6-----------16% Bronze  

The ratio of the distances = 10:6 = 5x : 3x.  

The ratio of the distances must be the same for COPPER.  

Percentage of copper in the fused mass = 74%.  

Percentage of copper in bronze = 80%.  

Let the percentage of copper in brass = C.  

Step 3: Plot the percentages for COPPER on the number line.  

Brass C%--------5x------74%-------3x-----------80% Bronze  

The number line above implies the following:  

3x = 80-74  

3x = 6  

x=2.  

Since 5x = 5*2 = 10, the distance between C and 74 = 10.  

Thus, C = 74-10 = 64.  

Thus, brass is 64% copper and 36% zinc.