A Biology test has 20 questions and is worth a total of 100 points. The test consists of True/False questions worth 2 points each and multiple choice questions
worth 7 points each. How many of the test questions are multiple choice and how
many of the test questions are True/ False?.
# of true/false questions =
# of multiple choice questions
PLEASE HELP ME I WILL GIVE

12 multiple choice and 8 True/False

Step-by-step explanation:

To do this we set up a system of equations. Let x represent the True/Fale questions and y represent the multiple-choice questions. Here is a system we can use:

x + y = 20

2x + 7y = 100

We can solve this by using elimination. To do this we multiply one equation by a number, and add them together. If we multiply the first equation by -2, the "x"s will, when added together, cancel out so we can solve for y.

-2(x + y = 20)

-2x - 2y = -40

Now add them together

5y = 60

Solve for y.

y = 12

This means there are 12 multiple choice questions. 20 - 12 is 8 True/False questions.

Hope this helps and have a great day! :D

8 True/False and 12 Multiple Choice

Step-by-step explanation:

x+y=20  ...1

2x+7y=100   ...2

Now you can multiply 2 on 1

2x+2y=40

2x+7y=100

Subtract:

-5y=-60

Divide -5 on both sides:

y=12

Substitute y with 12

x+12=20

Subtract 12 on both sides:

x=8

So there are 8 True/False and 12 Multiple Choice

Hope this Helps!

Answer helped by: azailiaskoglund