Answer:
36 pounds
Step-by-step explanation:
48% = 48/100 = 0.48
30% = 30/100 = 0.3
60% = 60/100 = 0.6
Let pounds of 60% alloy added = x
So, from the statement, we can write:
0.6x + 0.3(24) = 0.48(x + 24)
Note "x + 24" in total because we are adding "x" from 60% and "24" from 30% alloys.
Now, we have to solve the above equation for x:
[tex]0.6x + 0.3(24) = 0.48(x + 24)\\0.6x+7.2=0.48x+11.52\\0.6x-0.48x=11.52-7.2\\0.12x=4.32\\x=\frac{4.32}{0.12}\\x=36[/tex]
Thus,
We would need 36 pounds added from 60% alloy
