1 kg of tomatoes costs 7.1.
Express the value per kg of cucumbers in terms of (in dollars).
1 kg of tomatoes costs 7.1.
Express the value per kg of cucumbers in terms of (in dollars).
To solve for the price per kg of cucumbers, follow these steps:
Step 1: Determine the total cost of tomatoes.
Given that the cost of tomatoes is 2.8 per kg, and Maggie buys 2 kg, the cost of tomatoes is calculated as:
\( 2 \, \text{kg} \times 2.8 \, \text{dollars/kg} = 5.6 \, \text{dollars} .
Step 2: Write the equation for total cost.
The total cost for tomatoes and cucumbers combined is given as 7.1. Let \( x represent the cost per kg of cucumbers. The equation representing the total cost is:
.
Step 3: Solve the equation for .
Subtract the cost of tomatoes from both sides of the equation to find the cost of cucumbers:
.
Simplifying the right side gives:
.
Step 4: Isolate by dividing both sides by 0.6:
.
Simplify the division to find :
.
Therefore, the value per kg of cucumbers is dollars.