Math

posted by .

There are 10 sailboats in the harbor. Some of the boats have 2 sail & some of boats have 3 sails. If there are 24 sails visible on all of the boats, how many boats have 3 sails & how many boats have 2 sails?

  • Math -

    Set it up like this;

    2x + 3y = 24
    x + y = 10 <--use this one to solve for y.

    so y = -x + 10 ...

    Now substitute (-x + 10) for y in the first equation..so
    2x + 3(-x + 10) = 24
    2x + (-3x) + 30 = 24
    -x + 30 = 24
    -x = 24-30 or -6
    x = 6, y = 4

    so 6 have 2 sails and 4 have 3 sails...

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra 2

    Two sailboats are 9.8 miles apart and sailing toward each other. The larger boat sails 4 miles per hour faster than the smaller boat. The two boats pass each other after 0.7 hour. Find the speed of each boat. I cannot figure out for …
  2. Sine, cosine law

    A sail boat on lake Huron leaves Southampton and sails 20degrees west of north of 20km. At the same time, a fishing boat leaves Southampton and sails 30degrees west of south for 15 km. At this point, hot far apart are the boats, to …
  3. Trig

    A sail boat on lake Huron leaves Southampton and sails 20degrees west of north of 20km. At the same time, a fishing boat leaves Southampton and sails 30degrees west of south for 15 km. At this point, hot far apart are the boats, to …
  4. Math

    Two boats start out from the same dock traveling at 9 mph and 12 mph respectively. The boats travel in slightly different directions and after 20 minutes are 2 miles apart. What is the angle that is formed by the paths of the two boats?
  5. Math

    Two boats leave whitby harbour at the same time one boat heads 18 km to it's destination and the other boat heads 11 km to its destination. If the boats headed on a course 70 degrees apart, what is the distance between the boats ?
  6. statistics

    on a typical summers day a boat company hires rowing boats at a rate of 9 per hour. a)find the probability of hiring out at least 6 boats in a randomly selected 30 minute period. b) the company has 8 boats to hire and decides to hire …
  7. math

    two boats p and q are at points whose position vector are 4i+8j and 4i+3j respectively. both of the boats are moving at a constant velocity of p is 4i+j and q is 2i+5j. find the position vectors of p&q and pq after t hours, and hence …
  8. Math

    Two boats leave the same place at the same time. The first sails in a straight line N70°W at 45 miles per hour and the second goes in a straight line S23°E at 57 miles per hour. After 1 hour, how far apart are the boats, to the nearest …
  9. maths

    In the local boating pond there are 11 plain wooden boats, each with a different number. The owner decides that some of these boats will be painted: one in blue, one in green, one in red, and one in orange and the remaining are left …
  10. geometry

    Two boats are spotted by a Coast Guard helicopter. The helicopter is 150 yards above the water. The angles of depression are 12.5° and 15.3°. How far apart are the boats?

More Similar Questions