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A man has 30 coins in his pocket, all of which are dimes and quarters. If the total value of his cha

Mathematics
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A man has 30 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 540 cents, how many dimes and how many quarters does he have?

Apr 11th, 2015

let the number of dimes and quarters are x and y respectively, then we have 

x+y = 30

10x+25y = 540 

from the first eq, 

x = 30-y

plugging it into the second eq, 

10(30-y)+25y = 540 

300-10y+25y = 540 

15y = 540-300= 240 

y = 16 

x = 14 


Apr 11th, 2015

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Apr 11th, 2015
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