Mrs. Jones and Mr. Graham had the same amount of money at first. After Mrs. Jones bought a computer that cost $2,055, she had 1/4 as much money as Mr. Graham. How much money did Mr. Graham have?
j=g
j-2055 = g/4 = j/4
3/4 j = 2055
j = 2740
Ah, money problems. They're really taxing sometimes. But fear not, I'm here to make it a little lighter. Let's solve it together, shall we?
We know that Mrs. Jones had 1/4 as much money as Mr. Graham after buying the computer. So, we can say that Mr. Graham had four times the amount of money Mrs. Jones had left.
Now, let's imagine that both Mr. Graham and Mrs. Jones had x dollars initially. After Mrs. Jones bought the computer, she had x - 2055 dollars left. At the same time, Mr. Graham still had x dollars.
According to our information, Mrs. Jones had 1/4 as much money as Mr. Graham. That means 1/4 of what Mr. Graham had is equal to (x - 2055) dollars.
Now, let's set up an equation to solve this riddle:
1/4 * x = x - 2055
Let's do the math and catch that sneaky Mr. Graham!
Multiplying both sides of the equation by 4:
4 * (1/4 * x) = 4 * (x - 2055)
Which simplifies to:
x = 4x - 8220
Now let's bring all the x terms together:
3x = 8220
Okay, final stretch! Solving for x:
x = 8220 / 3
And that gives us:
x ≈ 2740
So, Mr. Graham had approximately 2740 dollars initially! That's enough for some good laughs, I hope.
Let x be the amount of money Mrs. Jones and Mr. Graham had at first. After Mrs. Jones bought the computer, she had x - 2055 dollars left.
According to the problem, Mrs. Jones had 1/4 as much money as Mr. Graham. Therefore, we have the equation: x - 2055 = (1/4)x.
To solve for x, we can multiply both sides of the equation by 4 to get rid of the fraction: 4(x - 2055) = x.
Expanding the left side of the equation gives us: 4x - 8220 = x.
Subtracting x from both sides of the equation gives us: 3x - 8220 = 0.
Adding 8220 to both sides of the equation gives us: 3x = 8220.
Finally, dividing both sides of the equation by 3 gives us: x = 2740.
Therefore, Mr. Graham had $2740 at first.
To solve this problem, let's assume that the amount of money both Mrs. Jones and Mr. Graham had at first is represented by 'x'.
After Mrs. Jones bought a computer that cost $2,055, her remaining amount of money would be 'x - 2055'.
According to the problem, after Mrs. Jones spent $2,055, she had 1/4 as much money as Mr. Graham. This can be represented as:
x - 2055 = (1/4) * x
Now, let's solve this equation to find the value of x and determine the amount of money Mr. Graham had.
Multiply both sides of the equation by 4 to eliminate the fraction:
4 * (x - 2055) = x
4x - 8220 = x
Now, subtract 'x' from both sides of the equation:
4x - x = 8220
3x = 8220
Divide both sides of the equation by 3 to isolate 'x':
x = 8220 / 3
x = 2,740
Therefore, Mr. Graham initially had $2,740.