To verify whether Mrs. Mashaba's claim that 66 mugs can fit into 10 boxes is valid, let's follow a step-by-step approach:
1. Understand the Claim:
Mrs. Mashaba claims that 66 mugs will fit into 10 boxes.
2. Determine the Number of Mugs per Box:
To see if this claim is valid, we need to determine how many mugs each box would contain if evenly distributed.
3. Calculation of Mugs per Box:
We take the total number of mugs and divide it by the number of boxes to find the number of mugs each box would contain.
[tex]\[
\text{Number of mugs per box} = \frac{\text{Total number of mugs}}{\text{Total number of boxes}}
\][/tex]
Plugging in the numbers, we get:
[tex]\[
\text{Number of mugs per box} = \frac{66}{10} = 6.6
\][/tex]
4. Interpreting the Result:
The result is 6.6 mugs per box. Since the number of mugs must be an integer, it implies that each box can hold approximately 6.6 mugs.
5. Conclusion:
Since we cannot have a fraction of a mug, Mrs. Mashaba's claim that 66 mugs will fit into exactly 10 boxes is not valid for an exact whole number of mugs per box.
Therefore, based on these calculations, we verified that Mrs. Mashaba's claim does not hold as true, as you cannot fit exactly 66 mugs into 10 boxes if each box must have an integer number of mugs.
