The difference between the prices of two bikes is $22. The sum of the prices is $328. How much does each bike cost?
153 + 175 = 328
175- 153= 22
So, 153 + 175 is the right answer!
To find the cost of each bike, we can set up a system of two equations based on the given information.
Let's assume the cost of the first bike is "x" dollars, and the cost of the second bike is "y" dollars.
From the given information, we have two pieces of information:
1. The difference between the prices of the two bikes is $22, so we can write the equation: x - y = 22.
2. The sum of the prices is $328, so we can write the equation: x + y = 328.
Now we have a system of two equations:
Equation 1: x - y = 22
Equation 2: x + y = 328
To solve this system of equations, we can use the method of substitution, elimination, or graphing. Let's use the method of elimination:
Add equation 1 to equation 2 to eliminate the variable "y":
(x - y) + (x + y) = 22 + 328
2x = 350
Divide both sides of the equation by 2:
2x/2 = 350/2
x = 175
Now, substitute the value of x into either of the original equations to find the value of y:
x + y = 328
175 + y = 328
y = 328 - 175
y = 153
Therefore, the first bike costs $175, and the second bike costs $153.
Let x = one bike, then x+22 = other.
x + (x+22) = 328
Solve for x, then x+22.