SOLUTION: Please help me solve this problem.
An alloy of metals is 25% copper. ANother alloy is 50% copper. how much of each alloy should be used to make 1000 grams of an alloy that is
Algebra.Com
Question 164971This question is from textbook
: Please help me solve this problem.
An alloy of metals is 25% copper. ANother alloy is 50% copper. how much of each alloy should be used to make 1000 grams of an alloy that is 45% copper?
This question is from textbook
Answer by midwood_trail(310) (Show Source): You can put this solution on YOUR website!
An alloy of metals is 25% copper. Another alloy is 50% copper. how much of each alloy should be used to make 1000 grams of an alloy that is 45% copper?
We have a system of equation in two variables.
Let x = alloy of metal
Let y = Another alloy
THEN:
x + y = 1000...Equation A
The question tells us that 25% is copper and that the other alloy is 50% copper.
From this information we make our second equation.
0.25x + 0.50x = 0.45 (1000)...Equation B
Here is your system of equations:
x + y = 1000...Equation A
0.25x + 0.50y = 0.45 (1000)...Equation B
I will solve for y in Equation A. Of course, you can solve for x or y (your choice).
From this system of equations, it is easier playing with equation A.
x + y = 1000...Equation A
Solving for x, I get:
x = 1000 - y
I will now plug x = 1000 - y into Equation B to find the value of y.
0.25x + 0.50y = 0.45 times (1000)
0.25(1000 - y) + 0.50y = 450
250 - 0.25y + 0.50y = 450
250 + 0.25y = 450
0.25y = 450 - 250
0.25y = 200
y = 200/0.25
y = 800
We just found the value of y to be 800.
To find x, we plug y = 800 for y in EITHER Equation A or Equation B.
I will select the easy Equation A.
x + y = 1000...Equation A
x + 800 = 1000
Solving for x, I get:
x = 1000 - 800
x = 200
Finals answer: 200 alloy of metal should be used and 800 of the other alloy should be used.
RELATED QUESTIONS
An alloy of metals is 25% copper another alloy is 50% copper. How much of each alloy is... (answered by ankor@dixie-net.com)
an alloy of metals is 25% copper. Another alloy is 50% copper. How much of each alloy... (answered by Alan3354)
An alloy of metals is 25% copper. Another alloy is 50% copper. How much of each alloy... (answered by stanbon)
An alloy of metals is 25% copper. Another alloy is 50% copper. How much of each alloy... (answered by josmiceli)
an alloy of metals is 25% copper. another alloy is 50% copper. how much of each should be (answered by josmiceli)
An alloy of metals is 25% copper. Another alloy is 50% copper. How much of each should... (answered by stanbon)
A metal alloy is 25% copper. Another metal alloy is 50% copper. How much of each alloy... (answered by stanbon)
An alloy of metals is 25% copper. Anotheralloy is 50% copper. How much of each should be... (answered by macston)
Please help me solve this: How much of an alloy that is 10% copper should be mixed with... (answered by richwmiller)