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Weight - Alloy

 
 
Reply Fri 26 Sep, 2014 04:18 pm
5 parts of tin and 16 parts of copper are an alloy of bell metal. A certain bell weighs 4200 pounds. Determine pounds of tin and copper.

What is known:

An alloy for bell metal consists of 5 parts tin and 16 parts copper.

Weight of a certain bell- 4200 pounds.

Want to know:

Pounds of tin and copper.

Let T = Tin
Let C = Copper

5T + 16C = 4200

5T/5 = 4200/5

T = 840

16C = 4200
16C/16 = 4200/16

C = 262.5

How do I proceed from here ?

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engineer
 
  1  
Reply Fri 26 Sep, 2014 06:04 pm
@Randy Dandy,
For every 21 parts, 5 are tin and 16 are copper. This means 5/21 of the total is tin. Can you figure it out from there?
Randy Dandy
 
  1  
Reply Fri 26 Sep, 2014 09:14 pm
@engineer,
5/21 is tin = .23809 = 24 %
16/21 is copper = .76109 = 76%

4200/21 = 200 pounds per part.

5 * 200 = 1000 pounds for 5 parts.

16 * 200 = 3200 pounds for 16 parts.

3200 + 1000 = 4200 pounds total.

??
knaivete
 
  -1  
Reply Sat 27 Sep, 2014 12:09 am
@Randy Dandy,
Award yourself the red ribbon.

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engineer
 
  1  
Reply Sat 27 Sep, 2014 05:18 am
@Randy Dandy,
That's correct, good job.
0 Replies
 
Randy Dandy
 
  1  
Reply Sat 27 Sep, 2014 02:27 pm
Thank you.
0 Replies
 
 

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