Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

HALP, plz explain steps,
A metal alloy is a mixture of two or more metals. A jeweler wants to make 8 grams of 18-carat gold, which is 75% gold. The jeweler has an alloy that is 90% gold and an alloy that is 50% gold. How much of each alloy does he use?

please use a system of equations to explain, would help, and maybe use elimination

Sagot :

Hippalectryon
Let's say he's gonna use x grams of 90% gold alloy and y grams of 50% gold alloy.

The total percentage of gold in the mixture will thus be (x*0.9+y*0.5)/8=0.75 (=75%)

What is more x+y=8

The system is thus x+y=8, 0.9x+0.5y=8*0.75=6
From the first one we get y=8-x, which we insert in the second one : x(0.9-0.5)+0.5*8=4 hence x=(6-0.5*8)/(0.4)=5 and y=8-5=3

The answer is 5 grams of 90% gold and 3 grams of 50% gold
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.