Answered

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A first alloy contains x pounds of 55% silver. It is mixed with a second alloy containing 30% silver to make 60 pounds of an alloy containing 40% silver. Of the answers listed below, the one closest to the correct value of x is

Sagot :

Cricetus

Answer:

"24 pounds" is the appropriate answer.

Step-by-step explanation:

According to the question, the equation will be:

⇒ [tex]x+y=60[/tex]...(equation 1)

or,

⇒ [tex]\frac{55}{100}x+\frac{30}{100}y=\frac{40}{100}\times 60[/tex]

      [tex]55x+30y=2400[/tex]...(equation 2)

Now,

By multiplying (equation 1) by 55 and (equation 2) by 1, we get

⇒ [tex]55x+55y=3300[/tex]...(equation 3)

⇒ [tex]55x+30y=2400[/tex]...(equation 4)

From equation 3 and 4, we get

⇒ [tex]25y=900[/tex]

       [tex]y=\frac{900}{25}[/tex]

          [tex]=36[/tex]

By putting the values of "y" in equation 1, we get

⇒ [tex]x=60-36[/tex]

       [tex]=24[/tex]

Thus the value of x be "24 pounds".

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