Ask Question
30 July, 21:59

A metal alloy is a metal made by blending 2 or more types of metal. A jeweler has supplies of two metal alloys. One alloy is 30% gold and the other is 10% gold. How much of each alloy should the jeweler combine to create 4 kg of an alloy containing 15% gold?

+4
Answers (1)
  1. 30 July, 22:24
    0
    1 kg of 30% gold and 3 kg of 10% gold

    Step-by-step explanation:

    Let us take "x" kg of 30% gold, and

    "y" kg of 10% gold

    We need to make 4 kg of 15% gold, that would be:

    4 (15%) = 4 (15/100) = 4 (0.15) = 0.6kg

    We can now write an equation as:

    30%x + 10%y = 4 (0.15)

    0.3x + 0.1y = 0.6 (equation 1)

    Also, we know there will be 4 kg from "x" and "y", so we can write:

    x + y = 4

    or x = 4 - y

    We substitute this into equation 1 and solve for y first:

    0.3x + 0.1y = 0.6

    0.3 (4 - y) + 0.1y = 0.6

    1.2 - 0.3y + 0.1y = 0.6

    0.2y = 0.6

    y = 3

    And x = 4 - y, x = 4 - 3 = 1

    So,

    1 kg of 30% gold and 3 kg of 10% gold
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A metal alloy is a metal made by blending 2 or more types of metal. A jeweler has supplies of two metal alloys. One alloy is 30% gold and ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers