Gretchen and Ezia received equal scores on a test made up of multiple choice questions and an essay. Gretchen got 18 multiple choice questions correct and received 19 points for her essay. Ezia got 15 multiple choice questions correct and received 31 points for her essay.

How many points was each multiple choice question worth?

Question

Gretchen and Ezia received equal scores on a test made up of multiple choice questions and an essay. Gretchen got 18 multiple choice questions correct and received 19 points for her essay. Ezia got 15 multiple choice questions correct and received 31 points for her essay.
 
How many points was each multiple choice question worth?

anonymous · Answer

@ganeshie8 ???

ganeshie8 · Answer

say the multiple choice question was worth "x" points

ganeshie8 · Answer

` Gretchen got 18 multiple choice questions correct and received 19 points for her essay. `

can you set up an equation for this ?

anonymous · Answer

Ok

ganeshie8 · Answer

18 multiple choice questions gives him 18x points,
since essay gave him 19 points

total score of Gretchen would be  :  18x + 19

yes ?

anonymous · Answer

agreed

ganeshie8 · Answer

see if you can setup an expression of score for Ezia

ganeshie8 · Answer

`Ezia got 15 multiple choice questions correct and received 31 points for her essay.`

whats the expression for her score ?

anonymous · Answer

And 18x+19 is 32 woud the answer be 32x or x=32?

anonymous · Answer

Am I right?

ganeshie8 · Answer

how did u get 32 ?

ganeshie8 · Answer

first setup an expression for Ezia

ganeshie8 · Answer

`Ezia got 15 multiple choice questions correct and received 31 points for her essay.`

translates to

15x + 31

right ?

ganeshie8 · Answer

now equatie both their scores :

18x + 19 = 15x + 31

solve x