Math Problem Statement
Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on [3] trips, and for each trip Lennox gets [300] dollars. On a single trip, a truck delivers [50] packs, and each pack contains [12] kilograms of apples. Overall, Lennox sells [4500] dollars worth of apples in a week. How much does Lennox get for a single kilogram of apples? dollars per kilogram
Solution
We need to determine how much Lennox earns per kilogram of apples. Let's break it down step by step.
Step 1: Determine the total number of trips per week
Each truck makes 3 trips per week.
Step 2: Determine the total earnings per week
Lennox earns $300 per trip. The total earnings per week are given as:
Step 3: Determine the total number of packs delivered per week
Each trip delivers 50 packs of apples. The total number of packs per trip is:
Since each truck makes 3 trips per week, the number of packs delivered by one truck per week is:
Step 4: Find the total kilograms of apples delivered
Each pack contains 12 kilograms of apples. So, the total kilograms of apples delivered per truck per week is:
Step 5: Find how much Lennox earns per kilogram
We now divide the total earnings by the total kilograms of apples delivered:
Thus, Lennox earns $2.50 per kilogram of apples.
Final Answer:
Would you like a more detailed explanation or verification? Here are some related questions:
- How many kilograms of apples does each truck deliver per trip?
- If Lennox wanted to earn $6000 per week, how many more trips would need to be made?
- What would be the total earnings if the price per kilogram increased to $3?
- If each truck could carry 60 packs per trip instead of 50, how much would Lennox earn in a week?
- How many kilograms of apples does Lennox sell in a month (4 weeks)?
Tip: Always double-check unit conversions to avoid mistakes in price calculations!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Unit Rate
Proportions
Multiplication
Division
Formulas
Total revenue per week = Total kilograms of apples per week × Price per kilogram
Total kilograms of apples per week = Total packs per week × Kilograms per pack
Total packs per week = Total trips per week × Packs per trip
Price per kilogram = Total revenue per week ÷ Total kilograms of apples per week
Theorems
Basic Proportionality Theorem (used in unit rate calculations)
Suitable Grade Level
Grades 6-8