4. In the Department of Natural Sciences, 14 faculty members have a PhD, and 30 faculty

Mathematics

1 answer:

Dvinal [7]2 years ago

4 0

Answer:

Step-by-step explanation:

We can start by making the table below to show the given numbers (red) and to assign a variable (x) to the number we want to find: female PhDs.

By subtracting the female numbers from the totals, we can find the corresponding numbers of male PhDs and non-PhDs.

The number of male non-PhDs is twice the number of male PhDs, so we have ...

2(14 -x) = 20 -x

28 -2x = 20 -x . . . . eliminate parentheses

8 = x . . . . . . . . . . . .add 2x-20

The number of female faculty with PhDs is 8.

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