Rick gave some money to his three brothers. Jay received 1/4 of the money. Jonas received 1/8 of the money and John received $300. How much more money did John receive than Jonas?
total amount --- x
x/4 + x/8 + 300 = x
times 8
2x + x + 2400 = 8x
5x = 2400
x = 480
Jay got 120
Jonas got 60
John got 300 , so .....
Rick gave x amount of money to his three brothers.
Jay received = 1/4 * x = x/4
Jonas received = 1/8 * x = x/8
John received = $300
x/4 + x/8 + $300 = x
$300 = x - (x/4 + x/8)
= x - ((2x + x)/8)
$300 = x - 3x/8
$300 = (8x - 3x)/8
$300 * 8 = 5x
($300 * 8)/5 = x
x = $480
total money = $480
Jonas received = x/8 = 480/8 = $60
John received more money than Jonas = $300 - 60 = $240
To find out how much more money John received than Jonas, we first need to calculate how much money Jay and Jonas received.
We know that Jay received 1/4 of the money, so to find this amount, we can multiply the total money by 1/4:
Jay's amount = Total money * (1/4)
Similarly, we know that Jonas received 1/8 of the money, so his amount can be calculated by multiplying the total money by 1/8:
Jonas's amount = Total money * (1/8)
Given that John received $300, we can now calculate how much more money he received compared to Jonas:
John's extra amount = John's amount - Jonas's amount
Let's calculate this step by step.
First, let's determine Jay's amount:
Jay's amount = Total money * (1/4)
Since we don't know the total amount of money, we can assign it a variable, let's say "x". Therefore:
Jay's amount = x * (1/4) = x/4
Next, we can determine Jonas's amount:
Jonas's amount = Total money * (1/8)
Again, we'll use the variable "x" to represent the total money, so:
Jonas's amount = x * (1/8) = x/8
Now, we have the amounts received by Jay and Jonas. Let's find out how much more money John received than Jonas:
John's extra amount = John's amount - Jonas's amount
= $300 - (x/8)
Therefore, the final answer to the question, "How much more money did John receive than Jonas?" is $300 - (x/8).