Solve for Unit Price: $8 Difference Between Apples and Cucumbers

To solve this problem, we'll follow these steps:

• Step 1: Identify the prices of apples and cucumbers in terms of a variable.
• Step 2: Set up the equation for the total cost.
• Step 3: Solve the equation to find the price of cucumbers.

Now, let's work through each step:

Step 1: Let the price per kg of cucumbers be $c$ dollars. Thus, the price per kg of apples is $c + 8$ dollars.

Step 2: Express the total cost of the items:

For 3 kg of apples: $3 \times (c + 8)$
For 5 kg of cucumbers: $5 \times c$

These add up to give the total cost:

$3(c + 8) + 5c = 48$

Step 3: Solve the equation.

Expand the equation:

$3c + 24 + 5c = 48$

Combine like terms:

$8c + 24 = 48$

Subtract 24 from both sides:

$8c = 24$

Divide by 8:

$c = 3$

Therefore, the price of 1 kg of cucumbers is $3$ dollars.