Brass is made from a mixture of copper and other elements. A mixture that is 80% copper is combined with a mixture that is 60% copper, resulting in 100 pounds of brass that is 65% copper.
Which equation can be used to find x, the amount of 60% mixture used to create the 65% mixture?
Answers
Answer:
a.0.8(100 – x) + 0.6x = 100(0.65)
Step-by-step explanation:
a.0.8(100 – x) + 0.6x = 100(0.65)
Step-by-step explanation:
The easiest way to find the answer is to derive the equation from the the data given.
The amount of 60% mixture is given as .
The amount of copper from 60% mixture =
The amount of copper from 80% mixture =
Therefore total amount of copper in 100 pound mixture is:
The amount of copper from 60% mixture + The amount of copper from 80% mixture
We can rearrange the equation as:
Percentage of copper in the final mixture can be derived by:
[Total pounds of copper/Total pounds of the mixture]×100
Percentage of copper in the final mixture is given as 65%
Therefore,
Answer:
75kgs
Step-by-step explanation:
amount of mixture of 80%copper used=25kgs
amount of mixture of 60%copper =75kgs
hope this helps