SOLUTION: 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 eac

Algebra.Com
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(52879)   (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.


RELATED QUESTIONS

A metallurgist wants to make 150 pounds of an alloy that is 55% aluminum. If he mixes an... (answered by ptaylor)
To make 10 kg of aluminum alloy with 60% aluminum, a scientist wants to use two metals... (answered by Mathtut)
A metal alloy is 35% copper. Another metal alloy is 50% copper. How much of each alloy... (answered by jorel1380,ankor@dixie-net.com,ikleyn)
An aluminum alloy containing 35% aluminum is to be made by combining 20% and 50% alloys.... (answered by stanbon)
A metal worker has a metal alloy that is 30% copper and another alloy that is 70% copper (answered by fractalier,josgarithmetic)
A metal alloy is 30% nickel. Another metal ally is 70% nickel. The two alloys are mixed... (answered by ikleyn,josmiceli)
A metal alloy is 25% copper. Another metal alloy is 50% copper. How many grams of the 50% (answered by mathmate)
Anne and Nancy use a metal alloy that is 15% copper to make jewelry. How many ounces of... (answered by checkley75)
Anne and Nancy use a metal alloy that is 13.2% copper to make jewelry. How many ounces of (answered by ankor@dixie-net.com)