Susan has a collection of 91 nickels and dimes. if the number of nickels is six times the number of dimes, how many nickels and how many dimes does she have?

Answer :

x = dimes
6x = nickels

x + 6x = 91

7x = 91

x = 91/7 = 13

13 dimes and 78 nickels
number dimes - x
number nickels - 6x
altogether x+6x=7x
7x=91
x=91/7=13

so number dimes - 13
number nicles 6*13 - 78

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