Which value could replace x in the table?
7 – m
23 – m
8(15 – m)
8(15) – m
is it this question?
Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. There are 15 questions on the test and the students have been given 55 minutes to complete it.
Because i've heard of this before.
[I Tried to be as neat as I could]
x = the number of multiple choice question
y = the number of free response question
we know that
3x + 8y = 55 = Equation A
x = 15 - y = Equation B
Substitute equation B in equation A
3[15-y] + 8y = 55
45 - 3y+ 8y = 55
5y = 55 - 45
5y = 10
y = 2
Find the value of x
x = 15 - y
x = 15-2= 13
the answer is
the number of multiple choice question are 13
the number of free response question are 2