Let's assume that the sum of money that Jules and Nathan shared is represented by the variable "x".
According to the given information, Jules received 7/10 of the amount, which is (7/10)*x = 7x/10.
After Jules gives Nathan $26, Jules will have (7x/10) - 26.
On the other hand, Nathan will receive $26 from Jules and his new total will be x/10 + 26.
Since they both have the same amount of money, we can set up an equation:
(7x/10) - 26 = x/10 + 26
Multiplying both sides of the equation by 10 to eliminate the denominators, we get:
7x - 260 = x + 260
Subtracting x from both sides of the equation, we get:
6x - 260 = 260
Adding 260 to both sides of the equation, we get:
6x = 520
Dividing both sides of the equation by 6, we get:
x = 520/6
Simplifying the fraction, we get:
x = 86.67
Therefore, the sum of money that the two boys shared is approximately $86.67.
Jules and Nathan share a sum of money. Jules receives 7/10 of the amount. after jules gives nathan $26 they both have the same amount of money. find the amount of the sum that the two boys shared
5 answers
130
Let's assume that the sum of money that Jules and Nathan shared is represented by the variable "x".
According to the given information, Jules received 7/10 of the amount, which is (7/10)*x = 7x/10.
After Jules gives Nathan $26, Jules will have (7x/10) - 26.
On the other hand, Nathan will receive $26 from Jules and his new total will be x/10 + 26.
Since they both have the same amount of money, we can set up an equation:
(7x/10) - 26 = x/10 + 26
Multiplying both sides of the equation by 10 to eliminate the denominators, we get:
7x - 260 = x + 260
Subtracting x from both sides of the equation, we get:
6x - 260 = 260
Adding 260 to both sides of the equation, we get:
6x = 520
Dividing both sides of the equation by 6, we get:
x = 520/6
Simplifying the fraction, we get:
x = 86.67
Therefore, the sum of money that the two boys shared is $86.67.
According to the given information, Jules received 7/10 of the amount, which is (7/10)*x = 7x/10.
After Jules gives Nathan $26, Jules will have (7x/10) - 26.
On the other hand, Nathan will receive $26 from Jules and his new total will be x/10 + 26.
Since they both have the same amount of money, we can set up an equation:
(7x/10) - 26 = x/10 + 26
Multiplying both sides of the equation by 10 to eliminate the denominators, we get:
7x - 260 = x + 260
Subtracting x from both sides of the equation, we get:
6x - 260 = 260
Adding 260 to both sides of the equation, we get:
6x = 520
Dividing both sides of the equation by 6, we get:
x = 520/6
Simplifying the fraction, we get:
x = 86.67
Therefore, the sum of money that the two boys shared is $86.67.
To solve this problem, we can use algebraic equations to represent the given information and then solve for the total amount of money that Jules and Nathan shared.
Let’s denote:
The total amount of money as T
The amount of money Jules received as 7/10T
The amount of money Nathan received as 3/10T
We are given that after Jules gives $26 to Nathan, they both have the same amount of money. This can be represented by the equation:
(7/10)T - 26 = (3/10)T + 26
Solving this equation will give us the total amount of money they shared.
Solution
First, let’s simplify the equation:
(7/10)T - (3/10)T = 26 + 26
This simplifies to:
(4/10)T = 52
Now, let’s solve for T:
(4/10)T = 52
Multiplying both sides by 10:
4T = 520
Dividing both sides by 4:
T = 130
So, the total amount of money that Jules and Nathan shared is $130.
Let’s denote:
The total amount of money as T
The amount of money Jules received as 7/10T
The amount of money Nathan received as 3/10T
We are given that after Jules gives $26 to Nathan, they both have the same amount of money. This can be represented by the equation:
(7/10)T - 26 = (3/10)T + 26
Solving this equation will give us the total amount of money they shared.
Solution
First, let’s simplify the equation:
(7/10)T - (3/10)T = 26 + 26
This simplifies to:
(4/10)T = 52
Now, let’s solve for T:
(4/10)T = 52
Multiplying both sides by 10:
4T = 520
Dividing both sides by 4:
T = 130
So, the total amount of money that Jules and Nathan shared is $130.
Yes, you are correct. The total amount of money that Jules and Nathan shared is $130.