Mark the number of rented scooters as x. Use the given information to form an equation in terms of x and solve it.
B
Practice makes perfect
We are told that Ricky's Rentals rented 12 more bicycles than scooters last weekend for a total revenue of $2 125. We want to find how many scooters were rented. Consider the prices for renting a bicycle and a scooter.
Item
Rental Fee
Bicycle
$20
Scooter
$45
To find how many scooters were rented we will construct an equation and solve it. Since we want to find the number of scooters, let's mark it as x. We are told that there were 12 more bikes rented. Therefore, we can also write the number of rented bicycles as an algebraic expression.
Number of Rented Scooters:& x
Number of Rented Bicycles:& x+ 12
Now consider that the total revenue was $2 125. The revenue is the sum of two numbers: the revenue for bicycles and the revenue for scooters. Both of these numbers can be calculated by multiplying the number of rented items by the rental fee for this item. We can use this fact to write an equation in terms of x.
45x+ 20(x+12)= 2 125
Let's now use the Properties of Equality to solve this equation for x.