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?

Question

Ella Merritt

Mathematics

15 May, 00:16

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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Leah Wells · 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