My mom said I could have all of the nickels and dimes in her wallet. It totals $1.35. How many nickels and dimes do I have?
You could have many different combinations.
13 dimes and 1 nickel
12 dimes and 3 nickels
and so on to --
1 dime and 25 nickels
To solve this problem, you need to set up a system of equations. Let's say the number of nickels is represented by 'n' and the number of dimes is represented by 'd'.
The value of a nickel is $0.05, so the total value of the nickels is 0.05n.
The value of a dime is $0.10, so the total value of the dimes is 0.10d.
Given that the total value of the coins is $1.35, you can write the equation:
0.05n + 0.10d = 1.35
Now, since your mom said you can have all the nickels and dimes in her wallet, there is no restriction on the number of coins. In other words, both 'n' and 'd' can take on any non-negative integer values.
To find the number of nickels and dimes, you can solve this equation by substituting different values for 'n' and solving for 'd', or vice versa. You can start by assuming a certain value for 'n' and solve for 'd' or vice versa. Once you find a pair of values that satisfies the equation, you have your answer.