Question

Use a system of equations to solve this problem.

Bronze is a mix, or alloy, of tin and copper. A metal worker needs 100 g of bronze that is 25% tin. He has one tin/copper alloy that is 5% tin and another tin/copper alloy that is 45% tin.

Let x = the number of grams of the 5% tin alloy.

Let y = the number of grams of the 45% tin alloy.

How many grams of each alloy should the metal worker combine?

Enter your answers in the boxes.

______ g of the 5% tin alloy

_____ g of the 45% tin alloy

Answer 1

@Vocaloid

Answer 2

total mass of metal = 100

x + y = 100 according to the variables defined in the problem

25% tin of 100g sample means 25g of tin
tin from x + tin from y = 25g

(0.05)x + (0.45)y = 25

solve the following system:

x + y = 100
(0.05)x + (0.45)y = 25

Answer 3

25 and 50