Let x = amount of 19% alloy and y = amount of 23% alloy
Then we have the system of equations:
x + y = 86
0.19x + 0.23y = 0.20(86)
-0.19x - 0.19y = -16.34
0.19x + 0.23y = 17.2
0.04y = 0.86
So, y = 21.5 oz and x = 86 - y = 64.5 oz
Trent M.
asked 08/19/19Solve this application problem using a system of equations: Amy and Penny use a metal alloy that is 20% copper to make jewelry. How many ounces of an alloy that is 19% copper must be mixed with an alloy that is 23% copper to form 86 ounces of the desired alloy?
Let x = amount of 19% alloy and y = amount of 23% alloy
Then we have the system of equations:
x + y = 86
0.19x + 0.23y = 0.20(86)
-0.19x - 0.19y = -16.34
0.19x + 0.23y = 17.2
0.04y = 0.86
So, y = 21.5 oz and x = 86 - y = 64.5 oz
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