A united states presidential coin is made from an alloy of 4 metals-copper, zinc, manganese, and nickel- with weights in the rat
io of 177:12:7:4 respectively. The coin weighs a total of 8 grams. What is the weight of the zinc in this coin?
1 answer:
Answer:
0.32 grams
Step-by-step explanation:
ratio of weight of -copper, zinc, manganese, and nickel = 177:12:7:4
let the
weight of copper = 177x
weight of zinc = 12x
weight of manganese = 7x
weight of nickel = 4x
Total weight of this alloy in terms of x = 177x + 12x+ 7x + 4x = 300x
given weight of alloy = 8 grams
thus,
weight of this alloy in terms of x =given weight of alloy
300x = 8 grams
x = 8/300 grams =
weight of zinc = 12x = 12 * 8/300 grams = 96/300 grams = 0.32 grams
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