Chris and Eric are competing on a game show. Together they answer 22 questions correctly. Chris’ score was 8 less than twice Eric’s score. How many did each of the guys answer correctly?

eric = 15

chris 7

Step-by-step explanation:

Let the questions Chris answered correctly be represented by c

Let the questions Eric answered correctly be represented by e

They both got 22 questions right. This can be represented by this equation :

c + e = 22 --- eqn 1

Chris scored 8 less than Eric. This can be represented by this equation :

c = e - 8 --- eqn 2

Substitute for c in eqn 1  

e - 8 + e = 22 .

collect like terms

2e = 30

solve for e

e = 15

Substitute for e in eqn 2

c = 15 - 8 = 7

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!