SOLUTION: if there are 30 questions on a test. Each question is worth either 2 or 3 points. The total is 78 points. How many of each type is on the test? How do i write this equation and

Question 752550: if there are 30 questions on a test. Each question is worth either 2 or 3 points. The total is 78 points. How many of each type is on the test?
How do i write this equation and solve?

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let x = the number of questions worth two points each.
The remainder (that's 30-x) are worth three points each.
The sum of these is 78 points.
So we can write the equation:
Solve for x.
Combine the x's.
Subtract 90 from both sides.
so...

There are 12 two-point questions and 18 three-point questions.
RELATED QUESTIONS
If there are 30 questions on a test, how many points is each question... (answered by richard1234)

There is a test worth 204 total points. The test has true/false questions worth 2... (answered by ikleyn)

There are 24 questions on a test. Each question is worth either 4 points or 5 points. The (answered by RAY100)

There are 24 questions on a test. Each question is worth either 4 points or 5 points. The (answered by checkley77)

There are 24 questions on a test. Each question is worth either 4 or 5 points. The total... (answered by solver91311)

A math test is worth 100 points and has 30 problems. Each problem is worth either 3... (answered by jim_thompson5910)

A math test is worth 100 points and has 30 problems. Each problem is worth either 3... (answered by MathLover1)

Your teacher is giving a test worth 250 points. There are 68 questions. Some questions... (answered by robertb)

A test is worth 100 points. There are 46 questions on the test. Each problem is worth... (answered by solver91311,Finavon)