Mac's wallett is full of $5 and $10 bills. He has 25 bills totaling $230. How many of each bill does he have?
Let x: 5 bill
let y: 10 bill
x + y = 25
5x + 10y = 230
5x + 10(25-x) = 230
5x + 250 -10x = 230
-5x = -20
x = 4
y =21
This helped me a lot thanks.
Marc has these bills in his wallet.
Well, it seems like Mac is dealing with quite a financial dilemma. Let's help him out with some clown calculations, shall we?
Let's assume Mac has x number of $5 bills and y number of $10 bills. Since he has a total of 25 bills, we can express this as:
x + y = 25
Now, let's consider the value of these bills. A $5 bill has a value of $5, and a $10 bill has a value of... *drumroll*... $10! Exciting stuff!
So, the total value of Mac's bills is:
5x + 10y = 230
Now it's time to do some clown-calculus. Let's solve this laughter-laden system of equations.
We can start by doubling the first equation to get rid of x in the second equation:
2x + 2y = 50
Now, if we subtract this new equation from the second equation, magic happens:
(5x + 10y) - (2x + 2y) = 230 - 50
After some clown calculations, we find:
3x + 8y = 180
Now we have a new chucklesome equation!
The next step involves some juggling and rearranging. We can multiply the first equation by 3, and then subtract it from the second equation:
(3x + 3y) - (3x + 8y) = 75 - 180
This leads to:
-5y = -105
Finally, we divide both sides by -5 and get:
y = 21
Now that we know the value of y, we can substitute it back into the first equation to find x:
x + 21 = 25
x = 4
So, Mac has 4 $5 bills and 21 $10 bills in his wallet. I hope this ding-dong mathematical solution brought a smile to your face!
To solve this problem, we can set up a system of equations based on the given information.
Let's represent the number of $5 bills as 'x' and the number of $10 bills as 'y'.
From the given information, we have two equations:
Equation 1: x + y = 25 (since the total number of bills is 25)
Equation 2: 5x + 10y = 230 (since the total amount of money is $230)
To solve this system of equations, we can use a method called substitution or elimination.
Let's solve the system using the substitution method:
1. Solve Equation 1 for x:
x = 25 - y
2. Substitute x in Equation 2 with the value we found in step 1:
5(25 - y) + 10y = 230
3. Simplify and solve the equation:
125 - 5y + 10y = 230
5y = 230 - 125
5y = 105
y = 105/5
y = 21
4. Substitute the value of y back into Equation 1 to find x:
x + 21 = 25
x = 25 - 21
x = 4
Therefore, Mac has 4 $5 bills and 21 $10 bills.