I need help with this math scenario

Question

Add a certain professional conference with 130 attendees, 94 of the attendees are doctors and the rest are dentists. If 48 of the attendees are women and 1/4 of the dentists in attendance are women, how many of the attendees are male doctors?

Answer 1

People who tend to think in pictures might find it helpful to make a quick table ... which I would draw if I knew how to make tables here ... okay, I'll fake it with tabs ...

Men Women Totals

Doctors ___ ___ 94

Dentists ___ 9 36

Totals ___ 48 130

So the problem statement gives us these 5 table entries more or less directly. Now, just fill in the other 4 values, and you're done.

Answer 2

1. Find how many dentists are in attendance:
2. 130 - 94 = 36 (36 dentists)
3. Find how many doctors are women:
4. one quarter of dentists are woman: 36 * (1/4) = 9 ( 9 women are dentists)
5. 48 total women - 9 woman dentists = 39 woman doctors
6. Find number of male doctors
7. 94 total doctors - 39 woman doctors = 55 male doctors

Answer 3

Let's take each statement in the question one at a time and parse the information from each one separately:

1. "conference with 130 attendees, 94 of the attendees are doctors and the rest are dentists." Based on this statement, we know 94 are doctors. By subtracting, 130 - 94, we can calculate that there are 36 dentists.
2. "1/4 of the dentists in attendance are women". By multiplying 1/4 * 36, we can calculate 9 of the dentists are women
3. "48 of the attendees are women". In the previous step, we calculated that 9 of the women are dentists. By subtracting 48 - 9, we find that 39 women are doctors.
4. Since there are 94 doctors total and 39 of them are women, we subtract 94 - 39 to calculate that there are 45 male doctors.