Question

Josiah emptied his piggy bank and discovered he had 35 coins consisting of dimes and nickels. If the total amount of money he had amounted to $3.30, which system can be used to find the number of dimes, ddd, and nickels, nnn, he had

Answer 1

`d+n=35\\0.10d+0.05n=3.30`

Step-by-step explanation:

Multiple Choices aren't given, so I will just solve this.

Josiah had "d" dimes and "n" nickels.

There are a total of 35 coins, nickels and dimes.

The value of "d" dimes and "n" nickels is $3.30

Note: Value of nickels is 0.05 and dimes is 0.10 (in dollars)

The system of equations (2) we can use to solve this will be:

1) an equation involving total number of coins

2) an equation stating the value of each coin and total value

Equation 1:

`d + n = 35`

Equation 2:

`0.10d+0.05n=3.30`

These are the 2 equations that can be solved simulataneously to find the number of nickels and dimes.