Problema Solution
A science test is worth 100 points and has 25 questions. There are multiple choice questions worth 3 points each and short essay questions worth 8 points each. How many short essay questions are on the test?
Answer provided by our tutors
let
x = the number of multiple choice questions worth 3 points each
y = the number of short essay questions worth 8 points each
since the test has total of 25 questions we have
x + y = 25
the science test is worth 100 points
3*x + 8*y = 100
by solving the system of equations
x + y = 25
3*x + 8*y = 100
we find
x = 20
y = 5
there are 5 short essay questions on the test.