18.3k views
3 votes
An alloy is composed of nickel, zinc, and copper in a 5:4:8 ratio. How many kilograms of each metal is needed to make 3.4 kg of this alloy?

User Ghostoy
by
4.6k points

2 Answers

5 votes

Answer:

Explanation:

5x+4x+8x=3.4

17x=3.4

x=0.2

Nickel 1 kg

Zinc 0.8 kg

Copper 1.6 kg

Hope this helped :D

User Justberare
by
5.0k points
4 votes

Answer:

1 kg, 0.8 kg, 1.6 kg

Explanation:

Add up each part in the ratio

5 + 4 + 8 = 17

Divide the mass of the alloy by 17

3.4/17 = 0.2

To find out how much of each metal is in the alloy multiply 0.2kg by how many parts of it are in the alloy.

Nickel - 5 parts

0.2 x 5 = 1 kg

Zinc - 4 parts

0.2 x 4 = 0.8 kg

Copper - 8 parts

0.2 x 8 = 1.6 kg

User Gloomy
by
5.0k points