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?

Answer 1

you will have to set this up into two equations and then use substitution or elimination. so the first equation would be 18x+19=y can you figure out the second equation from here?

Answer 2

no see i dont understand it so i'm trying to learn
plz help me understand

Answer 3

ok do you know what substitution and elimination are?

Answer 4

i think the substitutions are the letters
and the elimination is wehn you have to use multiplication or division on both side
the goal is t to get x by it self i think
i may be wrong

Answer 5

We will just use substitution for this problem. The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

Answer 6

do you know how I got the equation 18x+19=y

Answer 7

well i know you got 18 and 19 from the paragraph

Answer 8

ok thats a start. I choose the numbers that had to do with gretchen. Can you tell me the numbers that have to do with ezia

Answer 9

Gretchen - 18 and 19
Ezia - 15 and 31

Answer 10

yep good job now which numbers from both people have to do with multiple choice questions?

Answer 11

Gretchen -18
Ezia - 15

Answer 12

good now as you say in the first equation I gave you put the x next to those numbers, each in there own equation. Then you will add the points from the essay question to each of those in there own equation.

Answer 13

can you show me this?

Answer 14

18=15

Answer 15

i think

Answer 16

not quite. remember the equation I gave you at the very beginning?

Answer 17

oh yea so
18x+19=y

Answer 18

but how do i know if they are talking about Gretchen or Ezia

Answer 19

You know by looking at the question and the sentence starts with their name. for example Gretchen got 18 multiple choice questions correct and received 19 points for her essay.

Answer 20

well when they asked the question though it didn't give a name
"How many points was each multiple choice question worth?"

Answer 21

that is what we are trying to figure out so that will be our x

Answer 22

the number u have to divide by

Answer 23

sorry i didn't explain that well enough. it is in the description that has all of the names and information. and the question tells you what you are trying to figure out and we will put x in for the worth of the points in the equation

Answer 24

ooooh ok

Answer 25

so can you set up the second equation using the first one I gave you as a guide?

Answer 26

both equations will have the same components just different numbers that correspond to that student

Answer 27

ok man im tired we are going to go back over this in class and i need to finish this assessment thx for your help but whats the answer

Answer 28

15x +31=y
18x +19=y
18x+19=15x+31
3x=12
x=4 which is your answer

Answer 29

thx

Answer 30

yep hopefully your teacher can explain better than I could

Answer 31

@Jennaluv

Answer 32

ty