Question 1070055
On a math test the total number of points possible is 120. There are 44 questions on the test. Questions are worth one point, three points or five points. The number of three point questions is ten less than twice the number of one point questions. How many five point questions are on the test?
------
Questions Eq:: o + t + f = 44 questions
Points Eq::::  o +3t +5f = 120 points
Relation:: t = 2*o -10
--------------------------------------
Rearrange::
o  + t  + f  = 44
o  +3t  +5f  = 120
2o - t  +0f =  10
---------------------------
Use any method you know to solve the system to get:
o = 15 (one pt. questions)
t = 20 (three pt. questions) 
f =  9 (five pt. questions)
------------
Cheers,
Stan H.
------------