Question

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?

Answer 1

eric = 15

chris 7

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