SOLUTION: 25. A metallurgist decides to experiment with a new alloy by using iron and nickel in the ratio 21:5 by mass and nickel and copper in the ratio 4:3 by mass. How many grams of each

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Question 1191855: 25. A metallurgist decides to experiment with a new alloy by using iron
and nickel in the ratio 21:5 by mass and nickel and copper in the ratio 4:3 by mass. How many grams of each metal does the
metallurgist use to make 238 g of the alloy?
Answer by greenestamps(13200) About Me  (Show Source):
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Given:
iron:nickel = 21:5
nickel:copper = 4:3

Write each ratio as an equivalent ratio so that the numbers representing nickel in both ratios are the same.

iron:nickel = 84:20
nickel:copper = 20:15

Then
iron = 84x
nickel = 20x
copper = 15x

The total is to be 238g:

84x+20x+15x = 238
119x = 238
x=2

ANSWERS:
iron = 84x = 168g
nickel = 20x = 40g
copper = 15x = 30g