Question

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?

Answer 1

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

Explanation:

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

It is provided that:

• Jerry spends 1/6 on car payment, i.e. Car Payment =
  `(1)/(6)x`.
• Jerry spends 1/4 on food, i.e. Food =
  `(1)/(4)x`.

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

`=(1)/(6)x+(1)/(4)x\\\\=[(1)/(6)+(1)/(4)]x\\\\=[(2+3)/(12)]x\\\\=(5)/(12)x`

Compute the remaining amount as follows:

Remaining Amount = Total Amount - Amount Spent

`=x-(5)/(12)x\\\\=[1-(5)/(12)]x\\\\=[(12-5)/(12)]x\\\\=(7)/(12)x`

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