An instructor wants to write a test with 25 questions where each question is worth 3, 4, or 5 points based on difficulty. he wants the number of 3-point questions to be 4 less than the number of 4-point questions, and he wants the quiz to be worth a total of 100 points. how many 3, 4, and 5 point questions are there?

3-point questions = 7

4-point questions = 11

5-point questions = 7

Step-by-step explanation:

Let x, y and z be number of 3-point, 4-point and 5-point questions respectively.

We are told that number of total questions in the quiz is 25.

We are also told that number of 3-point questions is 4 less than the number of 4-point questions.

The quiz is worth 100 points.

Substituting equation 2 in equation 1 we will get,

Upon substituting value of y and z in equation 3 we will get,

Therefore, number of 3-point questions is 7.

Now we will find y by substituting x=7 in equation 2.

Therefore, number of 4-point questions will be 11.

Now we will substitute value of x and y in equation 1 to find our z.

Therefore, number of 5-point questions is 7.  

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.