2. Consider an alloy A? made of gold and silver in which the mass ratio of gold to silver is 2:3, and another one A? with the mass ratio 3:7. You need to create 8 kg of a new alloy A? with the mass ratio 5:11. How many kilograms of A? and A? do you have to mix? Solve the problem by creating and solving a SLE.
Added by Kristine G.
Close
Your feedback will help us improve your experience
Anurag Kumar and 74 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A certain alloy contains $10 \%$ tin and $30 \%$ copper. (The percentages are by weight.) How many pounds of tin and how many pounds of copper must be melted with 1000 lb of the given alloy to yield a new alloy containing $20 \%$ tin and $35 \%$ copper? Hint: Introduce variables for the weights of tin and copper to be added to the given alloy. Express the total weight of the new alloy in terms of these variables. The total weight of tin in the new alloy can be computed two ways, giving one equation. Computing the total weight of copper similarly gives a second equation.
Systems of Equations
Systems of Two Linear Equations in Two Unknowns
Alloy is a mixture of metals. Most of the gold used in jewelry is an alloy of pure gold and other metals that make the gold harder. Pure gold is 24 carats (ct), so 18 carat gold is an alloy of gold and other metals in the ratio 18:6. In other words, it contains 24 parts pure gold and other metals. If three grams of pure gold makes an 18ct gold alloy, how much other metal does it contain? An 18ct gold chain contains four grams of pure gold. What is the ratio of gold to other metals in this gold? What is the ratio of gold to other metals in 9ct gold?
Danielle F.
Two metals X and Y are to be used for making two different alloys. If the ratio by weight of X : Y in the first alloy is 6 : 5 and that in the second is 7 : 13, how many kg of X metal must be melted along with 11 kg of the first alloy and 20 kg of the second so as to produce a new alloy containing 40% of metal Y?
Trevor W.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD