The numbers of clerical and technical staff in a company are in the ratio 2:5. If the total number of staff in the company is 28, how many of them are technical staff?
Answers
★ Given:
Clerical and technical staff of a company are in the ratio 2:5.
Total no. of staff in the company = 28
★ To Find:
The no. of technical staff.
★ Analysis
We can find the no. of technical staff in company by forming an equation with the ratios that are turned into expressions.
★ Solution:
Let the no. of clerical staff be 2x.
Let the no. of technical staff be 5x.
Forming an equation:
2x + 5x = 28
7x = 28
x = 28/7 = 4
No. of technical staff the company has = 5x = 5 x 4 = 20.
So, there are 20 technical staff in that particular company.
★ Verification:
We can now find the no. of technical and clerical staff as we know the value of x.
No. of technical staff the company has = 5x = 5 x 4 = 20.
No. of clerical staff the company has = 2x = 2 x 4 = 8
If we add both these numbers and get the total no. as said in the question, we can verify our answer.
Adding:
20 + 8 = 28
Hence, verified!