Hassan's energetic Uncle Bob loves roller coasters, and he wants to ride them all! One day, Hassan prints out a list of all the roller coasters in the United States. After reading it with Uncle Bob, they discover he has already ridden $93$ of the coasters. There are still $400$ coasters left to ride. $\newline$ Which equation can you use to find the total number of roller coasters $c$ on Hassan's list? $\newline$ Choices: $\newline$ (A) $\frac{c}{93} = 400$ $\newline$ (B) $93c = 400$ $\newline$ (C) $c + 93 = 400$ $\newline$ (D) $c - 93 = 400$ $\newline$ Solve this equation for $c$ to find the number of roller coasters on Hassan's list. $\newline$ ____ roller coasters $\newline$

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Solve one-step and two-step linear equations: word problems

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Q. Hassan's energetic Uncle Bob loves roller coasters, and he wants to ride them all! One day, Hassan prints out a list of all the roller coasters in the United States. After reading it with Uncle Bob, they discover he has already ridden

93

of the coasters. There are still

400

coasters left to ride.

\newline

Which equation can you use to find the total number of roller coasters

c

on Hassan's list?

\newline

Choices:

\newline

(A)

\frac{c}{93} = 400

\newline

(B)

93c = 400

\newline

(C)

c + 93 = 400

\newline

(D)

c - 93 = 400

\newline

Solve this equation for

c

to find the number of roller coasters on Hassan's list.

\newline

____ roller coasters

\newline

Identify Total Coasters: To find the total number of roller coasters on Hassan's list, we need to add the number of coasters Uncle Bob has already ridden to the number of coasters left to ride. The correct equation to represent this situation is the total number of coasters $c$ equals the sum of the coasters ridden and the coasters left to ride.
Equation Representation: The correct equation from the choices given that represents this situation is (C) $c + 93 = 400$ . This is because Uncle Bob has already ridden $93$ coasters, and there are $400$ coasters left to ride. To find the total, we need to add these two numbers together.
Isolate Variable $c$ : To solve the equation $c + 93 = 400$ , we need to isolate $c$ . We do this by subtracting $93$ from both sides of the equation.
Subtract $93$ : Subtracting $93$ from both sides gives us $c = 400 - 93$ .
Calculate Total: Now we calculate $400 - 93$ to find the value of $c$ .
Final Result: $400 - 93$ equals $307$ .