Question

A person has two times as many nickels as quarters. if the total face value of these coins is $4.55, how many of each type of coin does this person have?

Answer 1

Let
He has = x quarters
He has = 2x nickels 

Total Amount = $3.50 or 3.50*100 = 350 cents 

x*25+2x*5=350
25x+10x=350
35x=350

35x/35=350/35
x=10 

He has = x = 10 quarters 
He has = 2x = 2*10 = 20 nickels 

Check
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10*25 + 5*20 = 350
250+100=350
350=350