A and B are two alloys of gold and copper
by mixing them in the ratio 3: 2 and 5:8 respectively
| If equal quantities of the alloys are melted
form a third alloy, the find the ratio of the
gold to copper in the new alloy
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Answer:
The new alloy is 32:33
Step-by-step explanation:
Given:- Let A & B are two alloy of gold and copper perpared by mixing them.
To Find:- The ratio of gold and copper of new alloy.
Sol:- gold ratio is 3:2
Let the ratio denote'x'
a=3x and b=2x
The copper ratio is 5:8
let a=5y and b=8y
3x+2x=1...................................................(1)
5x=1
x=1/5
5y+8y=1...........................................................(2)
13y=1
y=1/13
:. x/y= 1/5/1/13
x=13 and y=5
from eq (1)&(2)
3x+2x=1 5y+8y=1
3*13+2*13=1 5*5+8*5=1
39+26 25+40
39+26
+25+40
__________
64:66
:. In this eq. divided by 2
32:33
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