To match the ratios based on the number of items in each category, let's first identify the numbers:
- Backpacks: 6
- Hats: 15
- Lunchboxes: 9
- Shirts: 12
- Shoes: 18
Now we will calculate the relevant ratios:
-
Backpacks to Lunchboxes:
- Ratio = Backpacks:Lunchboxes = 6:9
- Simplifying 6:9 gives us 2:3. Match: E. 2:3
-
Hats to Shoes:
- Ratio = Hats:Shoes = 15:18
- Simplifying 15:18 gives us 5:6. Match: D. 5:6
-
Lunchboxes to Shoes:
- Ratio = Lunchboxes:Shoes = 9:18
- Simplifying 9:18 gives us 1:2. Match: A. 1:2
-
Backpacks to Hats:
- Ratio = Backpacks:Hats = 6:15
- Simplifying 6:15 gives us 2:5. Match: B. 2:5
-
Hats to All Items:
- Total Items = 6 + 15 + 9 + 12 + 18 = 60
- Ratio = Hats:Total Items = 15:60
- Simplifying 15:60 gives us 1:4. Match: F. 1:4
Here are the pairings:
- Backpacks to Lunchboxes: E (2:3)
- Hats to Shoes: D (5:6)
- Lunchboxes to Shoes: A (1:2)
- Backpacks to Hats: B (2:5)
- Hats to All Items: F (1:4)
So to complete your pairs, the final matches are:
- Backpacks to Lunchboxes -> E (2:3)
- Hats to Shoes -> D (5:6)
- Lunchboxes to Shoes -> A (1:2)
- Backpacks to Hats -> B (2:5)
- Hats to All Items -> F (1:4)