180k views
1 vote
daniel has 40 coins that are either nickels or dimes. the total value of the coins is $2.85. how many of each coin does daniel have

1 Answer

7 votes

Answer: 17 dimes or 23 nickels

Explanation:

Let's use two variables to represent the number of nickels and dimes that Daniel has. Let: n be the number of nickels, and d be the number of dimes.

We can write two equations based on the information given in the problem:

n + d = 40 (because Daniel has a total of 40 coins)
0.05n + 0.1d = 2.85 (because the total value of the coins is $2.85)
To solve for n and d, we can use the first equation to express one variable in terms of the other, and substitute that expression into the second equation:n + d = 40

n = 40 - d0.05n + 0.1d = 2.85

0.05(40 - d) + 0.1d = 2.85

2 - 0.05d + 0.1d = 2.85

0.05d = 0.85

d = 17
So Daniel has 17 dimes. We can substitute this value back into the first equation to solve for n:n + d = 40

n + 17 = 40

n = 23
So Daniel has 23 nickels.
Therefore, Daniel has 23 nickels and 17 dimes.

User Musefan
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.