Question

in winter, the price of apples suddenly went up by $0.75 per pound. sam bought 3 pounds of apples at the new price for a total of $5.88. write an equation to determine the original price per pound (p). find the original price per pound. $

Explanation:

Part 1: Writing the equation

Step1: Define new price

The new price per pound is the original price \( p \) plus \( \$0.75 \), so new price = \( p + 0.75 \).

Step2: Relate total cost to new price and quantity

Sam bought 3 pounds at the new price, and total cost is \( \$5.88 \). Using the formula \( \text{Total Cost} = \text{Price per pound} \times \text{Quantity} \), we get the equation: \( 3(p + 0.75) = 5.88 \).

Part 2: Finding the original price

Step1: Solve the equation for \( p \)

First, divide both sides of \( 3(p + 0.75) = 5.88 \) by 3: \( p + 0.75=\frac{5.88}{3} \)

Step2: Calculate the right - hand side

\( \frac{5.88}{3}=1.96 \), so the equation becomes \( p + 0.75 = 1.96 \)

Step3: Isolate \( p \)

Subtract 0.75 from both sides: \( p=1.96 - 0.75 \)

Step4: Calculate the result

\( 1.96-0.75 = 1.21 \)

Answer:

(Equation):
\( 3(p + 0.75)=5.88 \)