Word Problems

Question 1

How do you Solve mixture problems?

20% of 10 pounds + 40% of 30 pounds equals what percent of the total

Answer 1

percent1mass1 + percent2mass2 = percenttot*masstot

.2(10) + .4(30) = x(40)

Question 2

How to solve work rate problems with DIFFERENT completion times/rates?

If Jim finishes in 1 hour and Pam in 2 hours, how long will it take them combined to complete?

Answer 2

1/time1 + 1/time2 = 1/timetot

1/1 + 1/2 = 1/x

Question 3

How do you calculate profit?

Answer 3

Profit = (%profit desired)*price

Question 4

Work problems with the SAME work rate

If 4 machines working st the same rate can finish a job in 30 hours, how fast can 5

Answer 4

Convert to work hours

430 = 5x

Question 5

How do you calculate profit or loss percentage

Answer 5

(Total Revenue - Initial Cost)/(Initial Cost)

Question 6

How to calculate when a car will catch and pass another

Answer 6

Convert to the relative speed speed and distance between the two and solve for time