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An alloy of tin is 15% tin and weighs 20 pounds. How many pounds of tin are in the alloy?

2 Answers

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Final answer:

To calculate the pounds of tin in the alloy, convert the percentage of tin to a decimal and multiply it by the total weight. The alloy contains 3 pounds of tin.

Step-by-step explanation:

To determine how many pounds of tin are in an alloy that weighs 20 pounds and contains 15% tin, you can use a simple percentage calculation. First, convert the percentage to a decimal by dividing it by 100. So, 15% becomes 0.15. Then, multiply this decimal by the total weight of the alloy to find the weight of tin in the alloy.

Calculation:

  • 0.15 (the decimal form of 15%) × 20 pounds = 3 pounds of tin.

So, the alloy contains 3 pounds of tin.

User Valentt
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percentage of alloy 1=15%
quantity of alloy 1 =20 pounds
percentage of alloy 2=10%
quantity of alloy 2 =x pounds
total alloy =12
quantity of total alloy =(20+x)pounds

15*20+10*x=12(20+x)
300+10x =240+12x
10x-12x=240-300
-2x= -60
/-2
x=30
So the quantity of tin will be 30 pounds for 10% tin

User Ronen Yacobi
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7.6k points