Answer: 490 grams of the first alloy should be used.
30 grams of the second alloy should be used.
Step-by-step explanation:
Let x represent the weight of the first alloy in grams that should be used.
Let y represent the weight of the second alloy in grams that should be used.
A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is
0.15x and 0.2x
The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is
0.3y and 0.5y
If the alloy to be made contains 82.5 g of gold, it means that
0.15x + 0.3y = 82.5 - - - - - - - - - - - -1
The second alloy would also contain 113 g of lead. This means that
0.2x + 0.5y = 113 - - - - - - - - - - - - -2
Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes
0.03x + 0.06y = 16.5
0.03x + 0.075y = 16.95
Subtracting, it becomes
- 0.015y = - 0.45
y = - 0.45/- 0.015
y = 30
Substituting y = 30 into equation 1, it becomes
0.15x + 0.3 × 30 = 82.5
0.15x + 9 = 82.5
0.15x = 82.5 - 9 = 73.5
x = 73.5/0.15
x = 490
100,000 30,000 7,000
the first one i believe
Answer:
a. There are 48 angelfish.
b. There are 36 goldfish.
Step-by-step explanation:
the ration of clownfish to angelfish is 5:4 and there are 60 clownfish.
60:? 5x=60 x=12 12(4)=48
60:48 there are 48 angelfish
the ration of angelfish to goldfish is 4:3 and know we know there are 48 angelfish
48:? 4x=48 x=12 12(3)=36
48:36 there are 36 goldfish
Hey there!
<h2>10(2)(2) </h2><h2>10(2) = 20</h2><h2>20(2) = 40</h2><h2>Thus, your answer is: 40</h2>
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst
Answer:
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Step-by-step explanation:
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