Question

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

a) 1.7 kg nickel, 1.36 kg zinc, 2.72 kg copper
b) 1.7 kg nickel, 1.36 kg zinc, 2.04 kg copper
c) 1.2 kg nickel, 1.6 kg zinc, 2.4 kg copper
d) 1.0 kg nickel, 1.2 kg zinc, 2.4 kg copper

Answer 1

To make 3.4 kg of the alloy in the 5:4:8 ratio, you would need 1.0 kg of nickel, 1.2 kg of zinc, and 2.4 kg of copper.

Step-by-step explanation:

To determine the amount of each metal needed to make 3.4 kg of the alloy, we first need to find the total amount of each metal in the 5:4:8 ratio.

Since the ratio adds up to 17 (5+4+8=17), we can calculate the amount of each metal as follows:

• Nickel: (5/17) * 3.4 kg = 1.0 kg
• Zinc: (4/17) * 3.4 kg = 1.2 kg
• Copper: (8/17) * 3.4 kg = 2.4 kg

Therefore, the correct answer is d) 1.0 kg nickel, 1.2 kg zinc, 2.4 kg copper.