The equation #4.05 p + 14.4 = 4.5 (p+3)# represents the number #p# of pounds of peanuts you need to make trail mix. How many pounds of peanuts do you need for the trail mix?

Question

Julia Adams · Accepted Answer

Follow explanation. #p=2# pounds

When you arrange your equation: #4.05p + 14.4 = 4.5p + 13.5 # Further, #14.4 - 13.5 = 4.5p - 4.05p# #0.9 = 0.45p# #0.9/0.45 = p# #2=p# Your answer #p=2# pounds

Kennedy Adams · Answer

undefined To find the number of pounds of peanuts needed for the trail mix, we first need to solve the equation $4.05p + 14.4 = 4.5(p + 3)$ for $p$.

1. Start by distributing $4.5$ on the right side: $4.5(p + 3) = 4.5p + 13.5$.
2. Now, rewrite the equation: $4.05p + 14.4 = 4.5p + 13.5$.
3. Subtract $4.5p$ from both sides: $0.45p + 14.4 = 13.5$.
4. Then, subtract $14.4$ from both sides: $0.45p = -0.9$.
5. Now, divide both sides by $0.45$: $p = \frac{-0.9}{0.45} = -2$.

So, $p = -2$. However, since we're talking about pounds of peanuts, which can't be negative, we must disregard this solution.

Therefore, there is no real solution for $p$ in this case, meaning there may be an error in the problem statement or setup.