Explanation:
a. To find out how many hours Billy Banjo needs to work to pay for his banjo, we can set up the following equation:
$$ 6h = 300 $$
where "h" represents the number of hours Billy Banjo needs to work and 6 represents the amount of money he earns per hour.
We can solve this equation by dividing both sides by 6, giving us:
$$ h = \frac{300}{6} $$
$$ h = 50 $$
Therefore, Billy Banjo needs to work 50 hours in order to pay for his $300 banjo.
b. The equation $6h = 300$ represents the situation where Billy Banjo is trying to save money for a new banjo that costs $300, and he earns $6 per hour. The variable "h" represents the number of hours Billy Banjo needs to work in order to pay for the banjo. The left side of the equation, $6h$, represents the amount of money Billy Banjo earns in "h" hours, while the right side of the equation, 300, represents the cost of the banjo he is trying to save up for. By setting these two expressions equal to each other, we are able to solve for the value of "h," which represents the number of hours Billy Banjo needs to work in order to pay for his banjo.