Joey prepares his monthly budget. He will use a quarter of his income to pay his rent, the fifth will go to his car, the tenth to the grocery store, three tenths will be used to buy new furniture and the rest will be deposited in the bank. What fraction of his budget will he deposit in the bank.

Step-by-step explanation:

The total monthly budget is assumed to be 1.

He will use a quarter of his income to pay his rent. It means that the amount of his income that he will use to pay rent is 1/4.

He will use the tenth to the grocery store. It means that the amount he will use at the grocery store is 1/10.

three tenths will be used to buy new furniture. It means that the amount that would be used to buy new furniture is 3/10

Total amount to be spent is

1/4 + 1/10 + 3/10 = 9/20

If he will he deposit the rest in the bank, then the fraction of his budget that he will deposit in the bank is

1 - 9/10 = 1/10

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

okay..i will pick 8!