Alloy a is composed of 3 parts gold and 1 part silver. alloy b is composed of 1 part good and 3 parts silver. when combined, the allow mixture has 15 g of gold and 9 g of silver. how many grams does each alloy weigh?

Alloy A weighs 18 g

Alloy B weighs 6 g

Step-by-step explanation:

Let the weight of Alloy A be "x" g and Alloy B be "y" g.

It is given that Alloy A is composed of 3 parts gold and 1 part silver and Alloy B is composed of 1 part good and 3 parts silver.

The total gold is given by,

= = 15 g

The total silver is given by,

= = 9 g

adding both the equations we get,

and subtracting we get,

Thus, by solving we get,

x=18 and y=6.

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)