Question

1. At a fundraiser breakfast, the bill for three glasses of orange juice and five pancake specials is $7.60, whereas the bill for one glass of orange juice and two pancake specials is $2.90.
a. Write a system of two equations to model this problem. Let j stand for the price of a glass of juice and let p stand for the price of a pancake special.
b. Use the substitution method to solve the system of equations.
c. What would be the bill for one glass of orange juice and one pancake special?

Answer 1

= I have no idea. So far I got $7.60 = 3OJ + P OJ

Answer 2

2.90 = 1OJ + 2P

Answer 3

thats a good start !
lets call the price of orange juice = \(j\)

Answer 4

then, for partA you get :

\(\large 7.6 = 3j + 5p \)
\(\large 2.9 = 1j + 2p\)

Answer 5

see if that looks okay...

Answer 6

Yea thats what I got

Answer 7

good, we're done wid partA.

Answer 8

How do we solve the third part of the question

Answer 9

did u finish partB ?

Answer 10

No not yet

Answer 11

you need to finish partB first

Answer 12

Alright

Answer 13

isolate \(j\) from the second equation,
then substitute it in the first equation

Answer 14

your second equation :
\(\large 2.9 = 1j + 2p\)

\(\large j = 2.9 - 2p\)

Answer 15

substitute this value in first equation :

\(\large 7.6 = 3(2.9-2p) + 5p \)

Answer 16

solve for \(\large p\), can u ?

Answer 17

7.6=8.7-6p+5p

Answer 18

yes ! solve it all the way

Answer 19

7.6=8.7+11p?

Answer 20

try again

whats -6 + 5 ?

Answer 21

Oops -1

Answer 22

Yes!

Answer 23

7.6=8.7-1p

Answer 24

Yep, isolate \(\large p\)

Answer 25

7,6 = 8.7 - p

p = ?

Answer 26

1.1-1p?

Answer 27

7,6 = 8.7 - p

7.6 - 8.7 = -p

-1.1 = -p

1.1 = p

Answer 28

so the price of one pancake is $1.1

Answer 29

plug this value of \(p = 1.1\) in any one of the equations and solve \(j\) also

Answer 30

maybe plug it in second equation :

\(\large 2.9 = 1j + 2p\)

\(\large 2.9 = 1j + 2*1.1 \)

\(\large 2.9 = j + 2.2\)

\(\large 0.7 = j\)

\(\large j = 0.7\)

Answer 31

So the solution to system of equations is :
\(p = 1.1,~~j = 0.7\)

Answer 32

we're done wid partB

Answer 33

let me knw if smthng doesnt make sense...

Answer 34

7.6=3(2.9-2*1.1)=5*1.1

Answer 35

It makes since

Answer 36

good, see if u can do partC

Answer 37

you can use the prices from partB to do partC

Answer 38

$1.01 pancake $0.7 Juice?

Answer 39

yes !

Answer 40

nooo, wait

Answer 41

we got :

$1.1 panccale, and $0.7 juice

right ?

Answer 42

Yes

Answer 43

okay use them

Answer 44

Ok so thats part C

Answer 45

what we did so far is PartB

Answer 46

for PartC, you need to calculate the total price u nee to pay for one pancake and one juice

Answer 47

$1.71?

Answer 48

thats it !!

Answer 49

good job :)

Answer 50

Thank You for the help

Answer 51

you're welcome !

Answer 52

I know this is from 10 months ago, but you guys messed up on the easiest part ^_^. It's not 1.01 + 0.7 = 1.71, it's 1.1 + 0.7 = 1.80, so it would be $1.80 for Part C.