A40-question test has 108 possible points. there are m 4-point questions and n 2-point questions. how many of each type of questions are on the test?

There are fourteen  4-point questions and twenty six 2-point questions.

Step-by-step explanation:

Given : A 40-question test has 108 possible points.

There are m 4-point questions and n 2-point questions.

So , equation for total number of questions in the test :

Multiplying (i) by 2 , we get

Subtract (iii) from (ii) , we get

Using value of m in (i) , we get

Hence, there are fourteen  4-point questions and twenty six 2-point questions.

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step-by-step explanation:

yes, gavin is right.

step-by-step explanation:

gavin is correct. 

this problem is about converting 9% per year to how many percent per quarter. the rate is still the same. it only differed in the time period. so, through dimensional analysis,

9% per year  × (1 year / 4 quarters) = 2.25% per quarter

if he was asked to convert 9% per year to how many percent per quarter  compounded quarterly, then you will not simply divide by four. this is because compounding is not linear.

hope this , have a good day. c;