We know that a nickel equals $0.05.
We know that a dime equals $0.10.
So we will start by looking at the basic pricing of each coin, then to look into writing this problem out in an basic algebra a format. *key - anytime you are trying to find out the amount (value) that is written out in word format you always want to convert it into an equation to get your solution.*
We will use x (which is the most common) for the number of dimes that we have.
44-x (so x is the amount of dime, and 44 is the total coins that we have all together between the nickles and dimes).
0.10 (the price of a dimes)x+0.05 (the price of the nickles)*(44-x)=3.10 (the total amount of the nickels and dimes together.
Always use your rule of PEMDAS
10x+5*(44-x)=3.10
10x-5x=310-5*44
5x=90
x=18 (this is simplified)
So there are 18 dimes and then there is 26 nickels which = $1.30.
So your answer is going to be $1.30.
You can check your work by, the 18 dimes would be 44-18 which is 26 and then the value of the nickels 26*$0.05=$1.30
