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

D. 20

Explanation:

I got it right on prepworks

Answer 2

Short-response question = 20.

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=(-120)/(-6)`

`x=20`

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