Three people who work full-time are to work together on a project, but their total time on the project is to be equivalent to th
at of only one person working full-time. If one of the people is budgeted for one-half of his time to the project and a second person for onethird of her time, what part of the third worker’s time should be budgeted to this project? A. 1/3 B. 3/5 C. 1/6 D. 1/8
The problem tells us that the fractions of time worked by the three people need to be equivalent to one person working full time. This means that the fractions need to add up to one. We know one person works one-half (1/2) time on the project and another works one-third (1/3) time. Let x = the amount of time that the third person needs to work on the job to add up to one 1 = 1/2 + 1/3 + x 1 - 1/2 - 1/3 = x To subtract the fractions we need to put them all over a common denominator. Let's use 3*2 = 6 as the denominator; so 1 = 6/6, 1/2 = 3/6, 1/3 = 2/6: 6/6 - 3/6 - 2/6 = x 1/6 = x The third person must work 1/6 time on the project.
10xt=190 T represents the amount of trips and 10 represents the amount of money she spends each trip. Since she has $190 already it will be on the other side of the equation after the equal sign
