samir, a carpenter, spent $300 on specialty tools to make toy horses for children. for each horse he makes…

samir, a carpenter, spent $300 on specialty tools to make toy horses for children. for each horse he makes, he spends $75 on supplies. he charges $125 for each horse. how many horses must samir sell in order to break even?\no 2\no 3\no 4\no 6

samir, a carpenter, spent $300 on specialty tools to make toy horses for children. for each horse he makes, he spends $75 on supplies. he charges $125 for each horse. how many horses must samir sell in order to break even?\no 2\no 3\no 4\no 6

Answer

Explanation:

Step1: Set up cost - revenue equation

Let $x$ be the number of toy horses. The total cost $C$ is the sum of the cost of tools and the cost of supplies per horse times the number of horses, so $C = 300+75x$. The total revenue $R$ is the selling - price per horse times the number of horses, so $R = 125x$. To break even, $C = R$, so $300 + 75x=125x$.

Step2: Solve the equation for $x$

Subtract $75x$ from both sides of the equation: $300+75x - 75x=125x - 75x$. This simplifies to $300 = 50x$. Then divide both sides by 50: $x=\frac{300}{50}=6$.

Answer:

D. 6