Question 1058199: A metal alloy that is made up of 15% aluminum is combined with a metal alloy
that is 35% aluminum. If the result is 400 Kilograms of 27.5% of aluminum alloy, then
how much of each alloy was used?
Answer by ikleyn(52876)   (Show Source):
You can put this solution on YOUR website! .
Math model is this system of two equations
x + y = 400,
0.15x + 0.35y = 0.275*400
Solve it by any method you know.
Alternatively, you can use the model with one equation
0.15x + 0.35*(400-x) = 0.275*400.
Here x is the amount of the 15% aluminium alloy, y is the amount of the 35% aluminium alloy.
There is entire bunch of lessons covering various types of mixture problems
- Mixture problems
- More Mixture problems
- Solving typical word problems on mixtures for solutions
- Word problems on mixtures for antifreeze solutions
- Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts
- Word problems on mixtures for dry substances like candies, dried fruits
- Word problems on mixtures for dry substances like soil and sand
- Word problems on mixtures for alloys (*)
- Typical word problems on mixtures from the archive
- OVERVIEW of lessons on word problems for mixtures
in this site. One of them, related to alloys, is marked by (*).
Read them and become an expert in solution the mixture word problems.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
It contains many other solved word problems, as well as many other interesting and useful things.
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