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

Question

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

Items and Number of Items.
backpacks = 6
hats = 15
lunchboxes = 9
shirts = 12
shoes = 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

backpacks to hats

hats to all items

Answer 1

To solve the problem, we need to calculate the ratios based on the number of items for each category provided in the table. Here are the numbers from the table:

• Backpacks: 6
• Hats: 15
• Lunchboxes: 9
• Shirts: 12
• Shoes: 18

Now, we will find the ratios for each of the requested pairs:

1. Backpacks to Lunchboxes: \[ \frac{6}{9} = \frac{2}{3} \] So, the ratio is E. 2:3.

2. Hats to Shoes: \[ \frac{15}{18} = \frac{5}{6} \] So, the ratio is D. 5:6.

3. Lunchboxes to Shoes: \[ \frac{9}{18} = \frac{1}{2} \] So, the ratio is A. 1:2.

4. Backpacks to Hats: \[ \frac{6}{15} = \frac{2}{5} \] So, the ratio is B. 2:5.

5. Hats to All Items: The total number of items is \( 6 + 15 + 9 + 12 + 18 = 60 \). So, the ratio of hats to all items is: \[ \frac{15}{60} = \frac{1}{4} \] So, the ratio is F. 1:4.

Now to summarize, we have:

• 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

Note: Not all options will be used as the total number of pairs is less than the available ratio options. Here are the matched pairs:

• 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