Problema Solution
volunteers A,B, and C volunteered offered to stuff 788 envelopes with newsletters for a certain reelection campaign. Volunteer A could assemble 144 per hour, volunteer B, 119 per hour and volunteer C,139 per hour. They worked a total of 6 hours. The sum of the number of hours that volunteers B and C spent was twice what volunteer A spent. How long did each of them work?
Answer provided by our tutors
Let
a = the hours that volunteer A worked
b = the hours that volunteer B worked
c = the hours that volunteer C worked
144a + 119b + 139c = 788
a + b + c = 6
b + c = 2a
........
click here to see the system of equations solved for a, b and c
........
a = 2 hr
b = 2.8 hr
c = 1.2 hr
Volunteer A worked 2 hours.
Volunteer B worked 2.8 hours.
Volunteer C worked 1.2 hours.