A collection of coins has value of 64 cents. There are two more nickels than dimes and three times as many pennies as dimes. How many of each kind of coin are there?

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Mathematics

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3 August, 03:09

A collection of coins has value of 64 cents. There are two more nickels than dimes and three times as many pennies as dimes. How many of each kind of coin are there?

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Bond · Answer 1

0.10*d + 0.05*d+2 (0.05) + 0.01*3d = 0.64

0.18d+0.10=0.64

0.18d = 0.54

d = 3 There are 3 dimemes

n = d+2 = 5 nickels and

p = 3d = 3*3 = 9 pennies

3 (0.10) + 5 (0.05) + 9 (0.01) = 0.64

0.30+0.25 = 0.09 = 0.64

0.64 = 0.64