SOLUTION: A math test has 25 problems. Some are worth 2 points, and some are worth 3 points. The test is worth 60 points total. Write and solve a system of equations to determine the numbe

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A math test has 25 problems. Some are worth 2 points, and some are worth 3 points. The test is worth 60 points total. Write and solve a system of equations to determine the numbe      Log On


   

Question 715764:
A math test has 25 problems. Some are worth 2 points, and some are worth 3 points. The test is worth 60 points total. Write and solve a system of equations to determine the number of 2-point problems and 3-point problems on the test.
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=25
X=25-Y
2X+3Y=60
2(25-Y)+3Y=60
50-2Y+3Y=60
Y=60-50
Y=10 3 POINT QUESTIONS.
X+10=25
X=25-10
X=15 2 POINT QUESTIONS.
PROOF:
2*15+3*10=60
30+30=60
60=60