Teresa has 4.50 worth of change in nickels and dimes if she has 4 times as many nickels as dimes how many of each type of coin does she have
To solve this problem, let's assign variables to represent the number of nickels and dimes that Teresa has.
Let's say the number of dimes Teresa has is "d."
Since she has 4 times as many nickels as dimes, the number of nickels can be represented as "4d."
The value of a nickel is $0.05, and the value of a dime is $0.10.
So, the total value of the nickels can be calculated as 0.05 * (4d), and the total value of the dimes can be calculated as 0.10 * d.
According to the given information, the total value of the change is $4.50.
So, we can create the equation:
0.05 * (4d) + 0.10 * d = 4.50
Now, let's solve this equation to find the value of "d" (the number of dimes) first.
0.20d + 0.10d = 4.50
0.30d = 4.50
d = 4.50 / 0.30
d = 15
Now that we know the number of dimes is 15, we can find the number of nickels by multiplying 15 by 4:
Number of nickels = 4 * 15 = 60
Therefore, Teresa has 60 nickels and 15 dimes.