78 items are evenly distributed into 6 boxes. How many items are per box?

78 items are evenly distributed into 6 boxes. How many items are per box?

• A. 14.5
• B. 13.3
• C. 12.4
• D. 13.0

Answer: (D)

To find out how many items each box receives when 78 items are evenly distributed into 6 boxes, you need to divide the total number of items by the number of boxes. In this case, you perform the calculation: \[ \text{Number of items per box} = \frac{78 \text{ items}}{6 \text{ boxes}} \] Calculating this gives: \[ \frac{78}{6} = 13 \] Therefore, each box will contain 13 items. This demonstrates that an equal distribution results in each box receiving a whole number of items since 78 is perfectly divisible by 6. The other options, which provide fractions or decimals, would not accurately reflect the situation where items are divided evenly among boxes without any remainder. Each box receiving a non-integer value would imply that items cannot be evenly distributed, which contradicts the problem's premise. Thus, the answer of 13 items per box is the correct conclusion for this distribution.

To find out how many items each box receives when 78 items are evenly distributed into 6 boxes, you need to divide the total number of items by the number of boxes.

In this case, you perform the calculation:

[

\text{Number of items per box} = \frac{78 \text{ items}}{6 \text{ boxes}}

]

Calculating this gives:

[

\frac{78}{6} = 13

]

Therefore, each box will contain 13 items. This demonstrates that an equal distribution results in each box receiving a whole number of items since 78 is perfectly divisible by 6.

The other options, which provide fractions or decimals, would not accurately reflect the situation where items are divided evenly among boxes without any remainder. Each box receiving a non-integer value would imply that items cannot be evenly distributed, which contradicts the problem's premise. Thus, the answer of 13 items per box is the correct conclusion for this distribution.