Question

If Patriciana has 4 more dimes than nickels and they have a combined value of 100 cents, how many of each coin does she have?

Answer 1

Patriciana has (20/9) nickels and (80/9) dimes of coins .

Evaluation for the number of dimes and nickels.

There are 5 cents in a nickel and 10 cents in a dime.

Let the number of number of nickels be represented by the letter x, so that the number of dimes Patriciana has will be 4x.

So, 5x cents + 10 × 4x cents = 100 cents

5x cents + 40 cents = 100 cents

45x cents = 100 cents

divide through by the coefficient of x

x = 100cents/45cents

x = 20/9 by simplification,

and the number of dimes is calculated by putting 20/9 for x in 4x.

Hence, the number of dimes is 4(20/9) = 80/9 and that of nickels is 20/9.

Learn more about nickels and dimes here:brainly.com/question/9181464

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