# A coin collector has $1.70 in dimes and nickels. She has 2 more dimes than nickels. How many nickels does she have?

##### 1 Answer

10 nickels and 12 dimes

#### Explanation:

Given that

1 nickel

1 dime

100 cents

So 2 nickels is 1 cent

Let the count of nickels be

Let the count of dimes be

Known that $1.70

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So

It is given that there is 2 more dimes than nickels giving:

Using equation(2) substitute for d in equation(1)

Subtract 20 from both sides

Divide both sides by 15

Thus equation (2) becomes

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