SOLUTION: A biology test has 25 problems. some are worth 2 points,and some are worth 3 points. the test is worth 60 points total. using a system of equations, determine the number of 2-point

Question 1006951: A biology test has 25 problems. some are worth 2 points,and some are worth 3 points. the test is worth 60 points total. using a system of equations, determine the number of 2-point problems and the number of 3-point problems on the test.
Thank You So Much!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of 2-point problems
Let = the number of 3-point problems
----------------
(1)
(2)
--------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
--------------------

and
(1)
(1)
(1)
There are 15 2-point problems and
There are 10 3-point problems
------------------------
check:
(2)
(2)
(2)
(2)
OK
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