Question

Ryan has some nickels and dimes. Altogether, he has 34 coins that total $2.60. Write the system of equations to determine how many of each coin he has.

Answer 1

8 dimes is $1.80 while 16 nickels is $0.80 or 80 cents. This total is in fact $2.60.

Answer 2

In the question, it is given that

Ryan has some nickels and dimes. Altogether, he has 34 coins that total $2.60.

Let the number of nickels be n and number of dimes be d.

So we have

`image`

Multiplying first equation by -0.05 and add it to second equation, we will get

`-0.05n -0.05d +0.05n +0.1d = -1.7+2.6`

`image`So number of Dimes are 18 and number of nickels are

`34-18=16`