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Question

Best painters charges $100 to paint a room and $15 per can of paint used. Top Painters charges $75 to paint a room and $30 per can of paint used. Which equation could be used to find the number of cans of paint (p) for which the cost of the two companies is the same? a) 45p = 175 b) p(100 + 15) = p(75 + 30) c) 100p + 15 = 75p + 30 d) 15p + 100 = 30p + 75

Answer

Alright class, let's take a look at this equation we have here. We need to solve for the value of p. So, let's begin by simplifying both sides of the equation. On the left side, we have 15p + 100. On the right side, we have 30p + 75. Now, let's combine like terms on each side. 15p and 30p are like terms, so we can combine them to get 45p. And 100 and 75 are like terms, so we can combine them to get 175. So, now we have 45p = 175. To solve for p, we simply need to divide both sides by 45. And we get p = 175/45. Alright, that's the solution, class. Any questions or comments?