Answer:
1. How many points was each part worth?
- 12 points
2. How many questions did part A have?
- 2 questions
3. How many questions did Part B have?
- 3 questions
Step-by-step explanation:
We can set up our equation like this:
6x = 4y
In the above equation, x is representing the number of true/false questions and y is representing the nymber of multiple choice questions.
Now, the problem tells us that they want the least number of points possible so we know we need to use low numbers.
Since 6 is higher than 4, it's easier to go off of there.
6 x 1 = 6 4 is too big to go into 6 so we will move on.
6 x 2 = 12 4 goes into 12 3 times so we can use this.
Now that we've figured this out, we can put it in our equation:
6(2) = 4(3)
In the above equation, we can see that I've put 2 in for x because we multiplied 6 by 2 to get 12. I also put 3 in for y because we multiplied 4 by 3.
Now we can start with the questions:
1. How many points was each part worth?
Each part was worth 12 points because we can multiply 6 by 2 and get 12 or 4 by 3 and get the same thing
2. How many questions did part A have?
Part A had 2 questions because this is what x was when we multiplied by 6
3. How many questions did Part B have?
Part B had 3 questions because this is what y was when we multiplied by 4
Hope this helps!!