Peter and Jenny shared $410 between them. Peter received $100 more than Jenny. How much money did Jenny receive?
J + J+100 = 410
Let's represent the amount of money that Jenny received as 'x'.
According to the given information, Peter received $100 more than Jenny. Therefore, Peter received 'x+100' dollars.
Since the total amount of money shared between them is $410, we can write the equation:
x + (x+100) = 410
Simplifying the equation, we get:
2x + 100 = 410
Subtracting 100 from both sides of the equation:
2x = 310
Dividing both sides of the equation by 2:
x = 310/2
x = 155
Therefore, Jenny received $155.
To find out how much money Jenny received, we can use a simple algebraic equation.
Let's assume that Jenny's share is represented by 'x'. Since Peter received $100 more than Jenny, we can represent Peter's share as 'x + $100'.
According to the given information, the total amount of money shared between Peter and Jenny is $410. So we can write the equation:
x + (x + $100) = $410
Now, let's solve this equation to find the value of 'x':
2x + $100 = $410
2x = $410 - $100
2x = $310
x = $310/2
x = $155
Therefore, Jenny received $155.