
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a onetime activation fee and charges cents a minute. The second plan has no activation fee and charges cents a minute. After how many minutes of long distance calls will the costs of the two plans be equal?

The favorite colors of Patty,Jenna,Matt and Tom are brown,blue,red,and purple.No person's name has the same number of letters as his or her favorite color.Jenna and the girl who likes blue are in different grades.Red is the favorite color of one of the boys.Find each person's favorite color and show your work.

at a recycling plant, crusher 1 can crush three tons of glass in 5 hours. If crusher 2 is used in conjunction with crusher 1, it would take 2 hours to crush three tons of glass. How long would it take crusher 2 alone to crush three tons of glass? Round your answer to the nearest hour and minute.


Peter's age is less than 4 times Carol's age. The difference of their ages is 33. Find Peter's age and Carol's age.
HINT: Two equations, two variables