three sisters run a business. they charge $260 for each job. If the oldest sister earns 50% more than the middle sister and if the youngest sister earns 50% less than the oldest sister, how much does each sister earn per job?

hint: Identify the variable and then write each sister's expression

if the sisters earn x,y,z then

z = 3/2 y
x = 1/2 z
x+y+z = 260

(x,y,z) = (60,80,120)

To solve this problem, let's assign variables to represent each sister's earnings per job.

Let's say the middle sister earns x dollars per job.

Based on the given information, the oldest sister earns 50% more than the middle sister. This means her earnings per job would be x + 50% of x, which can be written as x + 0.5x. Simplifying this expression, we get 1.5x.

Similarly, the youngest sister earns 50% less than the oldest sister. So her earnings per job would be 1.5x - 50% of 1.5x, or 1.5x - 0.5(1.5x). Simplifying this expression, we get 0.75x.

Now we can see that the middle sister earns x dollars per job, the oldest sister earns 1.5x dollars per job, and the youngest sister earns 0.75x dollars per job.