Quality control must approve 5/8 of the labels printed at a factory. If the factory prints a batch of 720 labels, how many labels must quality control approve?

Quality control must approve 450 labels out of a batch of 720 labels printed at the factory. This is calculated by multiplying 720 by 8 5 ​ . The calculation shows that 450 labels require approval to maintain quality standards.
;

Answered by Anonymous | 2025-07-08

To solve the problem of how many labels quality control must approve, we start by understanding the problem statement:
We need to calculate 8 5 ​ of a batch of 720 labels.
Step-by-Step Solution:

Understand the Fraction :
8 5 ​ means we want to find out how many parts out of 8 parts make up 5 parts.

Calculate 8 5 ​ of 720 :
To calculate 8 5 ​ of 720, multiply 720 by 8 5 ​ :
8 5 ​ × 720 = 8 5 × 720 ​

Carry Out the Multiplication :



First, multiply 5 by 720:
\[5 \times 720 = 3600\]




Divide the Result by 8 :


Next, divide 3600 by 8:
\[\frac{3600}{8} = 450\]



So, the quality control must approve 450 labels.
Conclusion:
Quality control needs to approve 450 out of the 720 labels printed. This ensures that 8 5 ​ of the labels meet their standards.

Answered by SophiaElizab | 2025-07-22