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paolaz80045
04.08.2019 •
Mathematics
Use a system of equations to solve this problem. bronze is a mix, or alloy, of tin and copper. a metal worker needs 100 g of bronze that is 25% tin. he has one tin/copper alloy that is 5% tin and another tin/copper alloy that is 45% tin. let x = the number of grams of the 5% tin alloy. let y = the number of grams of the 45% tin alloy. how many grams of each alloy should the metal worker combine? enter your answers into the boxes. __g of the 5% tin alloy and __g of the 45% tin alloy.
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Ответ:
So 0.05x + 0.45y = 25 will tell us how much of each alloy we need to get 25 g of tin.
And x + y = 100 tells us that the total amount of bronze is 100 g.
Solve the second equation for x.
x = 100 - y
Now plug 100 - y into the first equation for x:
0.05(100-y) + 0.45y = 25
5 - 0.05y + 0.45y = 25
5 + 0.4y = 25
0.4y = 20
y = 50
Now plug y back into either of the original equations to find x.
x + 50 = 100
x = 50
The answer is 50 g of both alloys.
Ответ:
khan academy
Step-by-step explanation:
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