Q5. - Algebra 1

Question

Ricky’s Rentals rented 12 more bicycles than scooters last weekend for a total revenue of \(2125. How many scooters were rented?

Item	Rental Fee
Bicycle	\)20
Scooter	$45

1. 26
2. 29
3. 37
4. 41

 

Step-by-Step Solution

Answer

Option B is the correct answer.

Step 1. Define a variable.

A variable in Mathematics is defined as the alphabetic character that expresses a numerical value or a number.

Step 2. Define an equation.

In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the sign $"="$.

Step 3. Determine the number of scooters to be rented.

Let $x$ represents the number of scooters that were rented.

Then, the number of bicycles that were rented $=x+12$

Since, the rental fee for 1 bicycle $=\mathrm{\$}20$

So, the rental fee for $x+12$ bicycles $=\mathrm{\$}20\left(\mathrm{x}+12\right)$

Since, the rental fee for 1 scooter $=\mathrm{\$}45$

So, the rental fee for $x$ scooters $=\mathrm{\$}45x$

Since, total rental revenue is $2125.

So, 

$$\begin{gathered} 20\left(x+12\right)+45x=2125 \\ 20x+240+45x=2125 \\ 65x=2125-240 \\ 65x=1885 \\ x=\frac{1885}{65} \\ x=29 \end{gathered}$$

Hence, the number of scooters that were rented $=29$

Therefore option B is the correct answer.