Question

Francine and Cheryl received equal scores on a test made up of multiple choice questions and an essay. Francine got 34 multiple choice questions correct and received 14 points for her essay. Cheryl got 30 multiple choice questions correct and received 22 points for her essay.
How many points was each multiple choice question worth?

Enter your answer in the box.


??? points

Answer 1

$34x + 14 = 30x + 22$
X is the amount the multiple choice question is worth. Both girls had the same test score so both are equal. Isolate X and that will be the value.

$34x -( 30x) + 14 = 22$
$4x = 22 - (14)$
$4x = 8$
$4x \div 4 = 8 \div 4$
x = 2

Plug 2 back in for x in the original equation to check and both girls recieved a 82%