family has an annual income of ​$23 comma 400. Of​ this, one fourth
is spent for​ food, one fifth
for​ housing, one tenth
for​ clothing, one ninth
for​ savings, one fourth
for​ taxes, and the rest for other expenses. How much is spent for​ each?
​$
nothing is spent for food.

Respuesta :

Amount spent for food = $5850, housing = $4680, clothing = $2340, savings = $2600, taxes = $5850, expenses = $2080.

Step-by-step explanation:

Step 1:

Given details are Total Income = $23,400

Step 2:

Amount spent for food, F= 1/4th of 23,400 = [tex]1/4 \times 23400[/tex]

= $5850

Step 3:

Amount spent for housing, H = 1/5th of 23,400 = [tex]1/5 \times23400[/tex]

= $4680

Step 4:

Amount spent for clothing, C = 1/10th of 23,400 = [tex]1/10 \times 23400[/tex] = $2340

Step 5:

Amount spent for savings, S = 1/9th of 13,400 = [tex]1/9\times 23400[/tex] = $2600

Step 6:

Amount spent for taxes, T = 1/4th of 23,400 =  [tex]1/4 \times 23400[/tex] =$5850

Step 7:

Find amount spent on other expenses by totaling all expenditures and subtracting from the annual income.

Annual Income = F + H + C + S + T + E

Amount spent on other expenses, E = 23400 - (5850 + 4680 + 2340 + 2600 + 5850)

E = 23400 - 21320

E = $2080

Q&A Education