Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
x - the mass of the first alloy (15%)
y - the mass of the second alloy (75%)
x kg of the first alloy contains 15%x=0.15x=(15/100)x=(3/20)x kg of copper
y kg of the second alloy contains 75%y=0.75y=(75/100)y=(3/4)y kg of copper
90 kg of a 51% copper alloy contains 51%*90=0.51*90=45.9 kg of copper
[tex]x+y=90 \\ \frac{3}{20}x+\frac{3}{4}y=45.9 \ \ \ |\times (-\frac{4}{3}) \\ \\ x+y=90 \\ \underline{-\frac{1}{5}x-y=-61.2} \\ x-\frac{1}{5}x=90-61.2 \\ \frac{4}{5}x=28.8 \ \ \ |\times \frac{5}{4} \\ x=36 \\ \\ 36+y=90 \\ y=90-36 \\ y=54[/tex]
The metal worker should combine 36 kg of the 15% copper alloy and 54 kg of the 75% copper alloy to create 90 kilograms of a 51% copper alloy.
y - the mass of the second alloy (75%)
x kg of the first alloy contains 15%x=0.15x=(15/100)x=(3/20)x kg of copper
y kg of the second alloy contains 75%y=0.75y=(75/100)y=(3/4)y kg of copper
90 kg of a 51% copper alloy contains 51%*90=0.51*90=45.9 kg of copper
[tex]x+y=90 \\ \frac{3}{20}x+\frac{3}{4}y=45.9 \ \ \ |\times (-\frac{4}{3}) \\ \\ x+y=90 \\ \underline{-\frac{1}{5}x-y=-61.2} \\ x-\frac{1}{5}x=90-61.2 \\ \frac{4}{5}x=28.8 \ \ \ |\times \frac{5}{4} \\ x=36 \\ \\ 36+y=90 \\ y=90-36 \\ y=54[/tex]
The metal worker should combine 36 kg of the 15% copper alloy and 54 kg of the 75% copper alloy to create 90 kilograms of a 51% copper alloy.
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.