# A metal alloy consists of aluminum, copper and tin mixed into a ratio of 7:5:3. How much of each metal is there in 450 g of the alloy?

Apr 24, 2017

210 grams aluminum, 150 grams copper and 90 grams tin

#### Explanation:

If you have one unit of alloy, $\frac{7}{15}$ of it is aluminum, $\frac{5}{15}$ of it is copper, and $\frac{3}{15}$ of it is tin. Since $7 + 5 + 3 = 15$

Now compute the compartments in 450 grams alloy:

For aluminum: $\left(\frac{7}{15}\right) 450 = 210$ grams aluminum.

For copper: $\left(\frac{5}{15}\right) 450 = 150$ grams copper.

For tin: $\left(\frac{3}{15}\right) 450 = 90$ grams tin.