Question

Mrs. Gustafsson's English class is taking an exam that is made up of short-response questions and essay questions. There are 22 questions that are worth 100 points in total. Each short-response question is worth 4 points, and each essay question is worth 10 points. How many short-response question are on the exam? Select one: A. 14 B. 2 C. 18 D. 2
I need help with this ASAP, 99 points

Answer 1

Answer:

Short-response question = 20.

Step-by-step explanation:

Let x be number of short response questions and y be the number of essay questions.

We have been given that there are 22 questions that are worth 100 points in total. Each short-response question is worth 4 points, and each essay question is worth 10 points. Using our given information we can form a system of equations as:

$x+y=22...(1)$  

$4x+10y=100...(2)$

Now we will solve our system of equations using substitution method.

From equation 1 we will get,

$y=22-x$

Upon substituting $y=22-x$ in equation 2 we will get,

$4x+10(22-x)=100$

$4x+220-10x=100$

$4x-10x=100-220$

$-6x=-120$

$x=\frac{-120}{-6}$    

$x=20$  

Therefore, there are 20 short-response questions on the exam.