## In the Antares Corporation, 3/7 of the managers are female. If there are 42 female managers, how many...

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### In the Antares Corporation, 3/7 of the managers are female. If there are 42 female managers, how many...

by BTGmoderatorLU » Tue Jul 21, 2020 5:34 am

00:00

A

B

C

D

E

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Source: Magoosh

In the Antares Corporation, 3/7 of the managers are female. If there are 42 female managers, how many managers in total are there?

A. 18
B. 24
C. 60
D. 66
E. 98

The OA is E

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### Re: In the Antares Corporation, 3/7 of the managers are female. If there are 42 female managers, how many...

by sambati » Tue Jul 21, 2020 10:27 am
Assume the number of managers is X. The questions says that 3/7 of the managers are female and that there are 42 female managers. Translate this into an equation:
$$\frac{3}{7}$$ of X = 42
$$\frac{3}{7}$$ * X = 42
3X = 42*7
X = $$\frac{42\cdot7}{3}$$
X = 98

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### Re: In the Antares Corporation, 3/7 of the managers are female. If there are 42 female managers, how many...

by [email protected] » Fri Jul 23, 2021 8:51 am
BTGmoderatorLU wrote:
Tue Jul 21, 2020 5:34 am
Source: Magoosh

In the Antares Corporation, 3/7 of the managers are female. If there are 42 female managers, how many managers in total are there?

A. 18
B. 24
C. 60
D. 66
E. 98

The OA is E
Solution:

If we let m be the number of managers in Antares Corporation, we can create the equation:

3/7 * m = 42

m = 42 * 7/3 = 14 * 7 = 98