Question

can someone help me with this word problem please.

Answer 1

What is it?

Answer 2

Castel and Gabriella are selling pies for a school fundraiser.Customers can buy apple pies and lemon meringue pies. Castel sold 6 apple pies and 4 lemon meringue pies for a total of 80 dollars.Gabriella sold 6 apple pies and 5 lemon meringue pies for a total of 94 dollars.What is the cost of each of one apple pies and one lemon meringue pies.Btw i have to solve this using the elimination method

Answer 3

a = cost of apple pie and b = cost of lemon meringue pie. There are some variables. Now we need to set up our equations.

Answer 4

6a+4b=80 and 6a+5b=94

Answer 5

for elimination we have to eliminate a variable and it appears it will be easiest to do with the matching 6a.

Answer 6

We are going to need to make one of the 6a's negative though so when we add the two equations together we get rid of a.

Answer 7

so we multiply one of the equations by -1. Let's do the first equation because the b variable is smaller and we'll get a positive variable. -1(6a+4b)=-1(80)

Answer 8

now we have -6a-4b=-80 and 6a+5b=94.

Answer 9

Add the two equations together to eliminate the a variable. -6a+6a=0

Answer 10

hold on huh i'm confused why do u multiply

Answer 11

We want the 6a to be negative

Answer 12

6a + 6a will just be 12a

Answer 13

We are pretty much subtracting the equations instead of adding them but technically you aren't supposed to subtract them

Answer 14

Just think of it as 6a+4b=80 - 6a+5b=94

Answer 15

-1(6a+4b=80) + (6a+5b=94) is another way to write that

Answer 16

you subtract not add

Answer 17

Yes. I won't trouble you with this other non sense. Just subtract them :D

Answer 18

Do you see what to do though?

Answer 19

6a+5b=94 SUBTRACT 6a+4b=80. Line up your variables and subtract away.

Answer 20

ok

Answer 21

6a-6a=0 5b-4b=b and 94-80=14

Answer 22

so we're left with the equation 0+b=14 or b=14

Answer 23

so we know lemon meringue pie costs $14

Answer 24

i subtracted them & got 1b=-14 is that right

Answer 25

Make sure you pay close attention to which variable has the larger number in front.

Answer 26

what???

Answer 27

5b=94 - 4b=80. You want the larger variable first

Answer 28

oh ok

Answer 29

I'll write out some steps for you c:

Answer 30

1. Identify the variables. What are you asked to find? (in this case cost of apple and lemon pie.
2. Create the equations. What info about the variables are you given? (Example: 6 apple and 4 lemon costs $80.)
3. Decide how to add or subtract them. Which equation is larger? (If you want a positive answer you want the larger one firsts. 6a+5b=94 was larger because 5b is larger than 4b and 94 is larger than 80.
4. Line up the variables. 6a + 4b = 80
-6a + 5b = 94
5. Solve the system you created. (b=14)
6. Substitute the variable found after simplifying (we didn't have to here) and solve. (6a + 4(14) = 80)

Answer 31

And wah lah! 6a + 56 = 80. 80-56=24 so 6a=24. 24/6=4 so a = 4.

Answer 32

That's some cheap apple pie :3

Answer 33

why is it negative & lol

Answer 34

I meant it like subtraction sorry ahaha
6a + 4b = 80
Subtract 6a + 5b = 94

Answer 35

the a's go together, the b's go together and the equals or totals go together.

Answer 36

so it's a=1b=14 something like that

Answer 37

the a doesn't equal it. we got rid of the a for now by subtracting the 6a from the other equation. Think of variables like a block. You have 6 blocks. 6 blocks - 6 blocks = no more blocks

Answer 38

you are left with one b block which equals 14 dollars. I guess one b pie

Answer 39

Now I have to do my school work. YARHARHARHARHAR! Enjoy the high seas, matey!

Answer 40

lol ok thanks & have a goodnight

Answer 41

You too. Good luck with your future struggle.