Chapter 1.2, Problem 58PPS

a.

To determine

Algebraic expression to represent total monthly expenses of Ginger.

Answer to Problem 58PPS

Total Monthly expenses of Ginger $=r+u+4f+4a$

Explanation of Solution

Given:

Ginger’s monthly rent $=r$ units

Ginger’s monthly utilities expense $=u$ units

Ginger’s weekly food expense $=f$ units

Ginger’s weekly auto expense $=a$ units

There are 4 weeks in a month

Calculation:

Ginger’s monthly expenses can be calculated using the following steps:

Step 1: Determine monthly expenditure of each expense Ginger’s rent for $1$ month $=r$ units

Ginger’s utilities expense for 1 month $=u$ units

Ginger’s food expense for 1 week $=f$ units

  $\therefore$ Ginger’s food expense for 1 month $=4f$ units ( $\because$ Given 4 weeks in a month)

Ginger’s auto expense for 1 week $=a$ units

  $\therefore$ Ginger’s auto expense for 1 month $=4a$ units ( $\because$ Given 4 weeks in a month)

Step 2: Determine total monthly expenses Total monthly expenditure $=$ Rent $+$ Utilities expense $+$ Food expense + Auto expense

Total monthly expenditure $=r+u+4f+4a$

Conclusion:

Total monthly expenses of Ginger $=r+u+4f+4a$

b.

To determine

Total monthly expenses of Ginger

Answer to Problem 58PPS

Total Monthly expenses of Ginger $=1465$ $

Explanation of Solution

Given:

Ginger’s monthly rent $=550$ $

Ginger’s monthly utilities expense $=115$ $

Ginger’s weekly food expense $=75$ $

Ginger’s weekly auto expense $=125$ $

There are 4 weeks in a month

Calculation:

Ginger’s monthly expenditure can be calculated using the following steps:

Step 1: Determine monthly expenditure of each expense Ginger’s rent for $1$ month $=550$ $

Ginger’s utilities expense for 1 month $=115$ $

Ginger’s food expense for 1 week $=75$ $

  $\therefore$ Ginger’s food expense for 1 month $=(4\times 75)$ $ ( $\because$ Given 4 weeks in a month)

Ginger’s food expense for 1 month $=300$ $

Ginger’s auto expense for 1 week $=125$ $

  $\therefore$ Ginger’s auto expense for 1 month $=(4\times 125)$ $ ( $\because$ Given 4 weeks in a month)

Ginger’s auto expense for 1 month $=500$ $

Step 2: Determine total monthly expenses Total monthly expenses $=$ Rent $+$ Utilities expense $+$ Food expense + Auto expense

Total monthly expenses $=550+115+300+500$

Total monthly expenses $=1465$ $Conclusion:

Total monthly expenses of Ginger $=1465$ $