1. Anna has 12 bills in her wallet, some $5 and some $10. The total value of the bills is $100. How many of each bill does Anna have?
12=F + T number bills equation
100=5F+10T value equation
so is this my answer
To solve this problem, we can use a system of equations. Let's assume that Anna has x $5 bills and y $10 bills.
We know that she has a total of 12 bills, so we can write the equation:
x + y = 12 ---(Equation 1)
We also know that the total value of the bills is $100, so we can write another equation:
5x + 10y = 100 ---(Equation 2)
Now, we can solve this system of equations by using the method of substitution or elimination.
Let's solve it using the substitution method:
1. Solve Equation 1 for x in terms of y:
x = 12 - y
2. Substitute the value of x in Equation 2:
5(12 - y) + 10y = 100
3. Simplify the equation:
60 - 5y + 10y = 100
5y = 100 - 60
5y = 40
y = 8
4. Substitute the value of y back into Equation 1 to solve for x:
x + 8 = 12
x = 12 - 8
x = 4
Therefore, Anna has 4 $5 bills and 8 $10 bills in her wallet.