Exercise 6 Page 70

To find how many trucks there are for sale at the dealership, we have to write and solve an equation. We will do this by translating the sentence from verbal language into algebraic language. Next, to find the number of trucks, we will solve the obtained equation.

Writing the Equation

Let's take a look at the given sentence. Here, we have two key words, which are twice and more. The word twice indicates multiplication by $2$, while more indicates addition. The sentence tells us that the number of cars is equal to twice the number of trucks plus $24.$ Let $c$ represent the number of cars, and $t$ the number of trucks.

Solving the Equation

We want to find the number of trucks knowing that there are $100$ cars for sale. Therefore, before we can solve our equation, we have to substitute $100$ for $c,$ which is the variable that represents the number of cars. Finally, we can solve the equation for $t.$ If there are $100$ cars for sale, the number of trucks for sale is $38.$ This corresponds to the option J.