Question

a car rental company offers two types of cars only: honda civics and hyundai elantras. a honda civic can be rented for $50 per day and a hyundai elantra can be rented for $60 per day. if on a certain day a total of 29 cars were rented out and the company’s revenue for the day was $1560, how many honda civics were rented out?

Explanation:

Step1: Define variables

Let \( x \) be the number of Honda Civics rented and \( y \) be the number of Hyundai Elantras rented. We know that the total number of cars rented is 29, so \( x + y = 29 \). The revenue from Honda Civics is \( 50x \) and from Hyundai Elantras is \( 60y \), and total revenue is 1560, so \( 50x + 60y = 1560 \).

Step2: Solve the system of equations

From the first equation, we can express \( y \) as \( y = 29 - x \). Substitute this into the second equation:
\[

$$\begin{align*} 50x + 60(29 - x) &= 1560 \\ 50x + 1740 - 60x &= 1560 \\ -10x + 1740 &= 1560 \\ -10x &= 1560 - 1740 \\ -10x &= -180 \\ x &= \frac{-180}{-10} \\ x &= 18 \end{align*}$$

\]

Answer:

18