Question

At Megrez Corporation, the ratio of employees with advanced degrees to employees with bachelor degrees is 10 to 25. Every employee at Megrez has either a bachelor degree or an advanced degree. If there are exactly 63 employees at Megrez, how many have advanced degrees?

Choose the option that best answers the question.
A. 10
B. 18
C. 25
D. 31
E. 45

Answer 1

Option B) 18

Explanation:

We are given the following information in the question:

Ratio of employees with advanced degrees to employees with bachelor degrees = 10:25

`\text{Ratio} = \displaystyle\frac{\text{employees with advanced degrees}}{\text{employees with bachelor degrees}} = (10)/(25)`

Then, we can write:

Total number of employees with advanced degrees = 10x

Total number of employees with bachelor degrees = 25 x

Total number of employees =
`10x + 25x = 35x`

Total number of employees = 63

We are given that:

`35x = 63\\\\x = \displaystyle(63)/(35) = (9)/(5)`

Number of employees with advanced degree =

`10x\\\\= 10* \displaystyle(9)/(5) = 18`

Thus, there are 18 employees with advanced degree.

Option B) is the correct answer.

Answer 2

The ratio is 10 to 25, add those together: 10 +25 = 35

Divide the number of employees by that sum:

63 / 35 = 1.8

Now multiply that number by the ratio number for advanced degrees, which is 10:

1.8 x 10 = 18

The answer is B. 18