I can see the third problem is about Caleb's orchards. The text mentions:
- Caleb placed 6 beehives for every 2 acres on his peach orchard
- Caleb placed 4 beehives for every 1 acre on his apple orchard
To determine which orchard has more beehives per acre, I need to calculate the ratio of beehives per acre for each.
For the peach orchard: 6 beehives / 2 acres = 3 beehives per acre
For the apple orchard: 4 beehives / 1 acre = 4 beehives per acre
Since 4 > 3, the apple orchard has more beehives per acre.
Now I'll provide a complete answer to all three problems.
The worksheet "Comparing Ratios Using Tables" contains three problems that require comparing ratios:
Problem 1: Peach vs. Apple Orchards (Trees per Acre)
- Peaches: 6 trees for every 2 acres = 3 trees per acre
- Apples: 6 trees for every 3 acres = 2 trees per acre
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Answer: The peach orchard has more trees per acre.
Problem 2: New York vs. Florida Honey Production (Honey per Tree)
- New York: 300 pounds of honey from 120 trees = 2.5 pounds per tree
- Florida: 350 pounds of honey from 100 trees = 3.5 pounds per tree
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Answer: Florida's bees are producing more honey (per tree).
Problem 3: Caleb's Orchards (Beehives per Acre)
- Peach orchard: 6 beehives for every 2 acres = 3 beehives per acre
- Apple orchard: 4 beehives for every 1 acre = 4 beehives per acre
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Answer: The apple orchard has more beehives per acre.
In each case, I calculated the unit rate (per acre or per tree) to make a direct comparison between the two scenarios. This method of finding equivalent ratios by calculating unit rates is exactly what the instructions suggested for comparing ratios using tables.
Parent Tip: Review the logic above to help your child master the concept of ratio table worksheet 6th grade.
