Donna and Pat bought a used car together for 450. If Donna paid $110 more than Pat,how much did each pay?
p + p + 110 = 450
2p = 340
p = 170
Peter paid $170.
x + x + 110= 450
Let's represent the amount Pat paid as "x". According to the given information, Donna paid $110 more than Pat, so we can represent the amount Donna paid as "x+110".
Since they bought the car together for $450, we can set up the equation:
x + (x+110) = 450
Now, we combine like terms:
2x + 110 = 450
Next, we subtract 110 from both sides of the equation:
2x = 450 - 110
Simplifying the right side of the equation:
2x = 340
Finally, we divide both sides of the equation by 2 to solve for x:
x = 340/2
x = 170
So, Pat paid $170, and since Donna paid $110 more, she paid:
170 + 110 = $280
Therefore, Pat paid $170 and Donna paid $280.
To find out how much Donna and Pat paid for the car, we can set up a system of equations based on the given information.
Let's define:
x = amount paid by Pat
x + 110 = amount paid by Donna (since she paid $110 more)
According to the problem, the total amount paid by both Donna and Pat is $450. Therefore, we can write the following equation:
x + (x + 110) = 450
Simplifying the equation:
2x + 110 = 450
Now, let's solve for x:
Subtract 110 from both sides of the equation:
2x + 110 - 110 = 450 - 110
2x = 340
Divide both sides of the equation by 2:
2x / 2 = 340 / 2
x = 170
Therefore, Pat paid $170 for the car, and Donna paid $170 + $110 = $280 for the car.