Problema Solution
A company is to distribute $52,500 in bonuses to its top ten salespeople. The tenth salesperson on the list will receive $1,200, and the difference in bonus money between successively ranked salespeople is to be constant. Find the bonus for each of the other salespeople.
Answer provided by our tutors
let
c = the difference in bonus money between successively ranked salespeople
the 10th will receive $1,200
the 9th will receive $1,200 + c
the 8th will receive $1,200 + c + c = $1,200 + 2c
.
.
the 1st will receive $1,200 + 9c
a company is to distribute $52,500 in bonuses to its top ten salespeople thus the sum
1200 + 1200 + c + 1200 + 2c + ....+ 1200 + 9c = 52500
10*1200 + c(1 + 2 + 3 + ... + 9) = 52500
10*1200 + c ((1 + 9)*4 + 5) = 52500
by solving the equation we find
c = $900
click here to see the step by step solution of the equation
the bonus for each of the salespeople is
the 10th got: $1,200
the 9th got: $2,100
the 8th got: $3,000
the 9th got: $3,900
the 9th got: $4,800
the 9th got: $5,700
the 9th got: $6,600
the 9th got: $7,500
the 9th got: $8,400
the 9th got: $9,300