Time remaining:
I need help with this question
Algebra

Tutor: None Selected  Time limit: 0 Hours 
I need help with this question a family has an annual income of $25,200. Of this, ¼ is spent for food, 1/5 for housing, 1/10 for clothing, 1/9 for savings, ¼ for taxes, and the rest for other expenses. How much is spent for other expenses?
Oct 23rd, 2014
I need help with this question a family has an annual income
of $25,200. Of this, ¼ is spent for food, 1/5 for housing, 1/10 for clothing,
1/9 for savings, ¼ for taxes, and the rest for other expenses. How much is spent
for other expenses?
to make the problem much easier we first outline how the money is spent
annual income : $25200
food: 1/4
housing: 1/5
clothing: 1/10
savings: 1/9
taxes: 1/4
expenses:the remainder
we need to find out how much this fractions represent
1/4 of $25200 = 25200/ 4 = $6300 is the actual amount of 1/4
$25200  $6300 =$18900 is the remaining amount after the food expense was subtracted.So we now find out what 1/5 of 18900 is
1/5 of 18900 = 18900/ 5 =3780 we subtract this from 18900
18900  3780 =15120 we find out a tenth of this
1/ 10 of 15120
15120/ 10 = 1512we subtrct this from 15120 t get the reminder ot the total earnings
15120  1512 = 13608 we find what a ninth of this is
1/9 of 13608
13608/ 9 =1512 we subtract this from 13608 to get the remaining cash
13608  1512 =12096 we find a quarter f this
1/4 of 12096
12096/ 4=3024we subtract this from 12096 to get the remainder of the annul earnings
12096  3024 = 9072 this is the remaining amount after all the other expenses have been subtracted.It also is the amount spent on the rest of the expenses, thus we need to find a fraction of it.
we add all the fractions i.e 1/4 + 1/5 + 1/10 + 1/9 + 1/4 = 41/45
to get the total cost of 41/45 we subtract 9072 which is the total remainder from the total annual salary i.e 25200  9072 = 16128
16128 is total cost of 41/45
we are told to find the fraction of 9072.To find it we do it this way:
41/45 =16128
? = 9072
to find the answer to our new problem we use cross multiplication i.e
(41/45 x 9072)/ 16128
41 x 9072 = 371952/45
(371952/ 45)/ 16128
we need to eliminate the brackets in order to solve the sum we do it by making the 16128 a fraction i.e
(371952/ 45)/( 16128/ 1)
371952/ 45 x 1/ 16128 = 1/ 16 this is the answer to our problem.
to make the problem much easier we first outline how the money is spent
annual income : $25200
food: 1/4
housing: 1/5
clothing: 1/10
savings: 1/9
taxes: 1/4
expenses:the remainder
we need to find out how much this fractions represent
1/4 of $25200 = 25200/ 4 = $6300 is the actual amount of 1/4
$25200  $6300 =$18900 is the remaining amount after the food expense was subtracted.So we now find out what 1/5 of 18900 is
1/5 of 18900 = 18900/ 5 =3780 we subtract this from 18900
18900  3780 =15120 we find out a tenth of this
1/ 10 of 15120
15120/ 10 = 1512we subtrct this from 15120 t get the reminder ot the total earnings
15120  1512 = 13608 we find what a ninth of this is
1/9 of 13608
13608/ 9 =1512 we subtract this from 13608 to get the remaining cash
13608  1512 =12096 we find a quarter f this
1/4 of 12096
12096/ 4=3024we subtract this from 12096 to get the remainder of the annul earnings
12096  3024 = 9072 this is the remaining amount after all the other expenses have been subtracted.It also is the amount spent on the rest of the expenses, thus we need to find a fraction of it.
we add all the fractions i.e 1/4 + 1/5 + 1/10 + 1/9 + 1/4 = 41/45
to get the total cost of 41/45 we subtract 9072 which is the total remainder from the total annual salary i.e 25200  9072 = 16128
16128 is total cost of 41/45
we are told to find the fraction of 9072.To find it we do it this way:
41/45 =16128
? = 9072
to find the answer to our new problem we use cross multiplication i.e
(41/45 x 9072)/ 16128
41 x 9072 = 371952/45
(371952/ 45)/ 16128
we need to eliminate the brackets in order to solve the sum we do it by making the 16128 a fraction i.e
(371952/ 45)/( 16128/ 1)
371952/ 45 x 1/ 16128 = 1/ 16 this is the answer to our problem.
Oct 24th, 2014
Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Oct 23rd, 2014
...
Oct 23rd, 2014
Dec 4th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer
Secure Information
Content will be erased after question is completed.
check_circle
Final Answer