Question

Taylor has 18 cents in dimes and nickels in her pocket. The number of dimes is four more than the number of nickels. How many of each coin does it have?

Answer 1

Explained below.

Explanation:

The value of different types of coins are as follows:

1 penny (p) = 1 cent

1 nickel (n) = 5 cents

1 dime (d) = 10 cents

1 quarter (q) = 25 cents

It is provided that Taylor has 18 cents in dimes and nickels in her pocket.

This is not possible.

Because the sum of any number of dime and nickel coins will always be a multiple of 5.

a·d + b·n = 10a + 5b = 5 (2a + b)

The value 18 cents can be formed as follows:

8p + d = 18 cents

3p + n + d = 18 cents

3n + 3p = 18 cents