Question

HELP!! PLEASE!! Will fan you if correct..
Louann and Carla received equal scores on a test made up of multiple choice questions and an essay. Louann got 14 multiple choice questions correct and received 24 points for her essay. Carla got 16 multiple choice questions correct and received 14 points for her essay.

How many points was each multiple choice question worth?


_________ points

Answer 1

\(\large\tt \begin{align} \color{black}{\text{let each multiple choice question worth= }x\\~\\
\text{score of louaann}\\~\\
=14x+24\\~\\
\text{score of carla}\\~\\
=16x+14\\~\\
\text{Louann and Carla received equal scores ,thus}\\~
\\
14x+24=16x+14~~
}\end{align}\)

Answer 2

solve for x here

Answer 3

So.. To get X I would add 14 and 24, and add 16 and 14? That kinda confused me a bit..

Answer 4

x is a variable u can only add variable with variable

Answer 5

for example

\(x+8x\\=x(1+8)\\=9x\)

Answer 6

So.. 16x+14x?

Answer 7

u cannot add like here

\(1+7x=8\)---this is wrong

Answer 8

u have to shift \(14x\) to right hand side so it will become minus

Answer 9

\(14x+24=16x+14\\
24-14=16x-14x\\
10=x(16-14)\\
10=2x\\
\dfrac{10}{2}=x\\
5=x\)

Answer 10

So it is x=5?
I attempted it and got x=7 at first, i don't know how..
but that would be the answer to the question right?

Answer 11

show ur work

Answer 12

Alright, one second.

Answer 13

24 + 2x = 14 + 24
i didn't do the negatives.. I think?

Answer 14

Could you check a few of my other answers? I think that they're right, not sure though.

Answer 15

look at the equation
i made
it is

\(14x+24=16x+14\)


compare it with yours

Answer 16

Yeah, I see sorta.
Pretty much, i put the wrong numbers?

Answer 17

yes lol

Answer 18

Alright haha. Thanks, could you check some of my other answers? Not sure if they're correct I think they Might be..

Answer 19

yea

Answer 20

Sorry, my computer died, i'll send the pictures here in a second.

Answer 21

Are these correct?

Answer 22

@mathmath333