text: alegebra help: a company employs 110 people in total....? a company employs 110 people in total (headcount). the company has  2.5% of staff  in hr, a sales and marketing staff which is 15% of the headcount and the remainder in administration. the administration consists of vps and admin assistants. the number of admin asst are 10.5 more than the number of vps.  what is the number of admin assistants in the company?  due to a new round of venture capital funding, the company increases the total head count by 50%. the administration now represents 80% of the headcount and there was no change in the hr staff. what percentage of the company is the sales and marketing?  one year later, the company decides to have a head count reduction (layoff) of 30%. administration and sales and marketing departments were affected by the reduction. administration lost 61 people more than sales and marketing. after the reduction what percentage of employees are in the administration? hr=110*.025=2.75 (i hope 0.75 means part-time employee) sales = 110*0.15 = 16.5  100-2.75-16.5=80.75 ppl in admin x=# assistants x + x/10.5 = 80.75 x=80.75/(1+1/10.5)=73.7283  after venture capital: total headcount =110*1.5=165 admin = 0.8*165=132 sales=165-132-2.75=30.25  after layoff: total: 165*(1-0.3)=115.5 admin+sales = 115.5-2.75=112.75 admin lost x ppl 132-x +30.25-(x-61) = 112.75  2x=132+30.25+61-112.75  x=55.25 admin share = (132-55.25)/115.5=66.45%  note: company laid off 165*0.3=49.50 people, so "administration lost 61 people more than sales" means sales got more people