The table shows the number of boxes needed to hold different numbers of baseballs. How many boxes are needed for 222 baseballs?

Number of Baseballs Number of Boxes
492 82
486 81
480 80
474 79
468 78
(1 point)
Responses

27 boxes

27 boxes

37 boxes

37 boxes

53 boxes

53 boxes

77 boxes

77 boxes
Skip to navigation

1 answer

To find the number of boxes needed for 222 baseballs, we need to determine the ratio of baseballs to boxes from the data provided.

From the data:

  • 492 baseballs require 82 boxes, which gives a ratio of \( \frac{492}{82} = 6 \) baseballs per box.
  • 486 baseballs require 81 boxes, which also gives a ratio of \( \frac{486}{81} = 6 \) baseballs per box.
  • This pattern continues with all entries showing \( \frac{\text{number of baseballs}}{\text{number of boxes}} = 6 \).

Using this ratio, we can calculate how many boxes are needed for 222 baseballs:

\[ \text{Number of boxes} = \frac{\text{Number of baseballs}}{6} \] \[ \text{Number of boxes} = \frac{222}{6} = 37 \]

Thus, 37 boxes are needed for 222 baseballs. The answer is:

37 boxes.