Answer:
She has 3 $10 bills, 5 $5 bills and 8 $1
3 times 10= $30
5 times 5 = $25
8 times 1 = $8
$30 + $25 + $8 = $63
A system of equations is a group of equations that can be solved simultaneously. Here we can find one that allows us to solve the given question.
We will see that: Jemila has 8 $1 bills, 5 $5 bills, and 3 $10 bills.
First, let's define the variables:
Then the total amount of money in the piggy bank is:
$1*x + $5*y + $10*z
And we know that the total value is $63, then one equation is:
$1*x + $5*y + $10*z = $63
We also know that she has two more $5 bills than $10 bills, then:
y = z + 2
We also know that she has three more $1 bills than $5 bills, then:
x = y + 3
So our system of equations is:
$1*x + $5*y + $10*z = $63
y = z + 2
x = y + 3
To solve this, we need to isolate one of the variables in one of the equations. We can see that some variables are already isolated, like on the second or third equations.
For example, we can replace the second equation into the first and third ones:
$1*x + $5*y + $10*z = $63
x = y + 3
$1*x + $5*(z + 2) + $10*z = $63
x = (z + 2) + 3
Now we can simplify these to get:
$1*x + $15*z + $10 = $63
x = z + 5
Now we can replace the second equation on the first one:
$1*x + $15*z + $10 = $63
$1*(z + 5) + $15*z + $10 = $63
Finally, we can solve this for z.
$16*z + $5 + $10 = $63
$16*z = $63 - $15
$16*z = $48
z = $48/$16 = 3
z = 3
Now that we know the value of z, we can use it in the equations:
x = z + 5 = 3 + 5 = 8
y = z + 2 = 3 + 2 =5
Then the solution is:
Then Jemila has 8 $1 bills, 5 $5 bills, and 3 $10 bills.
If you want to learn more, you can read:
https://brainly.com/question/13997560
