The formula for calculating the salary of a person with a base salary and commission is:
#t = b + (s xx c)#
Where,
#t# is the total salary of the person: $65,000 for this problem.
#b# is the base salary: $35,000 for this problem.
#s# is the total sales for the year: what we are solving for in this problem.
#c# is the commission rate: 8% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 8% can be written as #8/100#.
We can substitute and solve for #s# as:
#$65000 = $35000 + (s xx 8/100)#
#$65000 = $35000 + 8/100s#
#$65000 - color(red)($35000) = $35000 - color(red)($35000) + 8/100s#
#$30000 = 0 + 8/100s#
#$30000 = 8/100s#
#color(red)(100)/color(blue)(8) xx $30000 = color(red)(100)/color(blue)(8) xx 8/100s#
#($3000000)/color(blue)(8) = cancel(color(red)(100))/cancel(color(blue)(8)) xx color(blue)(cancel(color(black)(8)))/color(red)(cancel(color(black)(100)))s#
#$375000 = s#
#s = $375000#
The salesperson would need $375,000 in sales to achieve a total salary of $375,000
