Of his take-home pay each month, Jerry spends 1/6 on car payment and 1/4 on food. What fraction of his take-home pay is left after paying for these two items?

The fraction of Jerry's take-home pay that is left after paying for these two items is 7/12.

Step-by-step explanation:

Consider that the total take-home pay each month Jerry receives is, $x.

It is provided that:

The remaining amount can be computed by subtracting the amount spent from the total amount.

Compute the amount Jerry has spent so far:

Amount Spent = Car Payment + Food

Compute the remaining amount as follows:

Remaining Amount = Total Amount - Amount Spent

Thus, the fraction of Jerry's take-home pay that is left after paying for these two items is 7/12.

the right system of equations to describe the situation would

be on the form:

x1 = 8000 + y1*t

and

x2 = 8000 + y2*t

where x1 and x2 represents the total money of imogene and her

friend respectively at the end of t years.

now for the value of amount earned, y1 and y2:

y1=8000*0.08

y2=2000*√(t-2)