Question 1186835
the amount of tin is currently .07 * 55.8 liters = 3.906 liters.


let x equal the amount of bronze that needs to be added.


your equation is:


3.906 + x = .13 * (55.8 + x).


simplify to get:


3.906 + x = 7.254 + .13 * x


subtract .13 * x from both sides of the equation and subtract 3.906 from both sides of the equation to get:


x - .13 * x = 7.254 - 3.906


combine like terms and simplify to get:


.87 * x = 3.348.


solve for x to get:


x = 3.348 / .87 = 3.848275862.


that's the amount of bronze that needs to be added to make the percentage of bronze equal to 13%.


you have 3.906 + 3.848275862 = 7.754275862 liters of bronze in a total of 55.8 + 3.48275862 = 59.64827586 liters.


the percentage of bronze is 7.754275862 / 59.64827586 = .13 * 100 = 13%.