ratio with 3 variables

[demoskopico]

Hardsoft Ltd. has 3 divisions, each staffed by at least 10 people. The ratio of men to women is 7/5 in Finance, 3/4 in Marketing and 8/7 in R&D. If every Hardsoft employee works for exactly one of the 3 divisions, are there fewer than 120 women working in Hardsoft?

1. There are 100 men working in Hardsoft
2. More women work in Finance than in R&D

I still can't catch this one I saw in the course

I know that it can be tought in this way:

1.
minimum of women=82: (77:55, 15:20, 8:7)
maximum of women=121: (14:10, 78:104, 8:7)
insufficient.

2. insufficient

1&2. maximum of women=121: (14:10, 78:104, 8:7) is not work. Therefore, <120
sufficient.


anyway I spend many mins to do it..is there any quick method?

[kevin]

Hardsoft Ltd. has 3 divisions, each staffed by at least 10 people. The ratio of men to women is 7/5 in Finance, 3/4 in Marketing and 8/7 in R&D. If every Hardsoft employee works for exactly one of the 3 divisions, are there fewer than 120 women working in Hardsoft?

1. There are 100 men working in Hardsoft
2. More women work in Finance than in R&D

I still can't catch this one I saw in the course

I know that it can be tought in this way:

1.
minimum of women=82: (77:55, 15:20, 8:7)
maximum of women=121: (14:10, 78:104, 8:7)
insufficient.

2. insufficient

1&2. maximum of women=121: (14:10, 78:104, 8:7) is not work. Therefore, <120
sufficient.


anyway I spend many mins to do it..is there any quick method?

Don't worry about this question, as long as you understand the solution