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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

The lost and found center at Wentworth Middle School contained the items in the table below.

Item backpacks hats lunchboxes shirts shoes
Number of Items 6 15 9 12 18

Match the ratios to the correct labels based on the relationships in the table.

A. 1:2
B. 2:5
C. 3:4
D.5:6
E. 2:3
F. 1:4
backpacks to lunchboxes

hats to shoes

lunchboxes to shoes
arrowBoth
backpacks to hats
arrowBoth
hats to all items

1 answer

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:

  1. Backpacks to Lunchboxes:

    • Ratio = Backpacks:Lunchboxes = 6:9
    • Simplifying 6:9 gives us 2:3. Match: E. 2:3

  2. Hats to Shoes:

    • Ratio = Hats:Shoes = 15:18
    • Simplifying 15:18 gives us 5:6. Match: D. 5:6

  3. Lunchboxes to Shoes:

    • Ratio = Lunchboxes:Shoes = 9:18
    • Simplifying 9:18 gives us 1:2. Match: A. 1:2

  4. Backpacks to Hats:

    • Ratio = Backpacks:Hats = 6:15
    • Simplifying 6:15 gives us 2:5. Match: B. 2:5

  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)