Question

At Acme Inc., there are 3 more than twice as many salespeople as inventors. If the whole company has 27 employees,

how many inventors are there?

Answer 1

There are 8 inventors.

Explanation:

• Let 's' be the salesperson

• Let 'i' be the inventors

Given that there are 3 more than twice as many salespeople as inventors.

• i.e s = 3+2i

Also given that the whole company has 27 employees.

i.e.

s + i = 27

substituting s = 3+2i

3 + 2i + i= 27

3 + 3i = 27

3i = 27 - 3

3i = 24

divide both sides by 3

i = 8

• Thus, there are 8 inventors.

VERIFICATION

As the total number of employees is 27.

so the salespeople will be:

s = 3+2i

= 3 + 2(8)

= 3 + 16

= 19

Thus, the total employees are verified as:

s + i = 27

19 + 8 = 27

27 = 27