The Logan family is renting a beach house from Aqua Coast Beach Rentals. Mr. Logan called the rental agency ahead of time to get the total cost for $9$ days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of $25$ $\$$ applied to their rental cost. The Logans will pay $920$ $\$$ in all. $\newline$ Which equation can you use to find $d$ , how much the agency charges per day? $\newline$ Choices: $\newline$ (A) $25d - 9 = 920$ $\newline$ (B) $9d - 25 = 920$ $\newline$ (C) $25(d - 9) = 920$ $\newline$ (D) $9(d - 25) = 920$ $\newline$ How much does the agency charge per day? $\newline$ ____ $\$$

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Solve two-step equations: word problems

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Q. The Logan family is renting a beach house from Aqua Coast Beach Rentals. Mr. Logan called the rental agency ahead of time to get the total cost for

9

days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of

25

\$

applied to their rental cost. The Logans will pay

920

\$

in all.

\newline

Which equation can you use to find

d

, how much the agency charges per day?

\newline

Choices:

\newline

(A)

25d - 9 = 920

\newline

(B)

9d - 25 = 920

\newline

(C)

25(d - 9) = 920

\newline

(D)

9(d - 25) = 920

\newline

How much does the agency charge per day?

\newline

____

\$

Understand the problem: Understand the problem. $\newline$ The Logan family is renting a beach house for $9$ days with a one-time discount of $\$25$ . The total cost is $\$920$ . We need to find the daily rental cost, represented by $d$ .
Set up the equation: Set up the equation. $\newline$ The total cost without the discount would be the daily charge $d$ times the number of days $9$ . Since there is a one-time discount of $\$25$ , we subtract this amount from the total cost to get the equation: $9d - 25 = 920$ .
Identify the correct equation: Identify the correct equation from the choices. $\newline$ Looking at the choices given, the correct equation that represents the situation is (B) $9d - 25 = 920$ .
Solve the equation for d: Solve the equation for d. $\newline$ Add $25$ to both sides of the equation to isolate the term with $d$ : $\newline$ $9d - 25 + 25 = 920 + 25$ $\newline$ $9d = 945$ $\newline$ Now, divide both sides by $9$ to solve for $d$ : $\newline$ $d = 945 / 9$ $\newline$ $d = 105$