Question

CHECK MY ANSWERS?
So far a total of 42 tickets have been sold for the school play for a total revenue of $194. How many student tickets have been sold? Set up and solve a system of equations to solve the problem.

Answer 1

was this the last one ?

Answer 2

let me know what equation you got

Answer 3

x+y=42
7x+3y=194
7(42-y)+3y=194
294-7y+3y=194
10y=194=294
10y=100
x+10=12
x=2

Answer 4

second to last one

Answer 5

hold on a second

Answer 6

they're not right

Answer 7

no i know they aren't
i mean the equations are
i am trying to find the mistake

Answer 8

this is good \[7(42-y)+3y=194\]

Answer 9

this is good
\[294-7y+3y=194\]

Answer 10

the next line is wrong, and i saw you made a similar mistake before
it is combining like terms

Answer 11

in the next line you had \(10y\) but there is no \(10y\)

Answer 12

one of the equal signs is suppose to be a subtraction oops

Answer 13

because i added 7+3 ?

Answer 14

right you added
but it is not \(7y+3y\) it is \(-7y+3y\)

Answer 15

gotta be careful with the signs
it is a common mistake
so lets go slow and not do two steps at once

Answer 16

so it's suppose to be -4y

Answer 17

\[294-7y+3y=194\]is right
what should the next line look like doing only on thing at a time (combining like terms )?

Answer 18

294-10y=194
i just thought to subtract 294 and 194 ?!?!

Answer 19

wait you already said \(-7y+3y=-4y\) right?

Answer 20

you should be looking at
\[294-4y=194\]

Answer 21

oh yeah oops

Answer 22

now lets proceed carefully and clearly ( i am not trying to be annoying, really)
" i just thought to subtract 294 and 194" makes no real sense
what you need to do next is subtract \(294\)from both sides

Answer 23

290y=100 ?

Answer 24

\[294-4y=194\\
-4y=194-294\]

Answer 25

i.e. subtract \(294\) from both sides
there is more combining like terms, \(294-4y\neq 190y\)

Answer 26

in other words
\[-4y=-100\]

Answer 27

wow i'm so dumb i thought of doing that but it didn't seem right

Answer 28

more or less clear? you had two mistakes on this line
\[10y=194-294\] one is that it should not be \(10y\) but rather \(-4y\) and the other is that \(194-294=-00\) not \(100\)

Answer 29

lol not so dumb
learning this stuff

Answer 30

now i will give you a hint that might make these easier

Answer 31

you had \[7x+3y=194\] and went to
\[7(42-y)+3y=194\] i would have used instead
\[7x+3(42-x)=194\]

Answer 32

is finding x easier?

Answer 33

it is not a matter that it is an \(x\) rather than a \(y\) they are just variables
it is because the \(7\) in front of the \(x\) is larger than the \(3\) in front of the \(y\) and so we won't end up with so much negative stuff

Answer 34

@satellite73 oooh okay so it was all of the problem

Answer 35

\[7x+3(42-x)=194\] multiply out and get
\[7x+126-3x=194\] now combining like terms is less confusing
\[4x+126=194\] and also subtracting is less confusing
\[4x=68\]

Answer 36

see no negatives!

Answer 37

oh okay! thank you for understanding my struggle!!

Answer 38

yw
did you get the "final answer" yet?

Answer 39

yeah x=-13 and y =25

Answer 40

the 25 is right

Answer 41

now lets make sure we get the \(x\) correctly

Answer 42

what equation did you use to find \(x\) once you had \(y=25\) ?

Answer 43

x+25=12

Answer 44

where in the world did that come from ? ?

Answer 45

WAIT

Answer 46

it's suppose to be x+y=24

Answer 47

omg

Answer 48

lol sold negative 13 tickets

Answer 49

x+y=42

Answer 50

ok you must be getting tired
yeah that one!!

Answer 51

in any case now you have \(x=17,y=25\)

Answer 52

yepp! thanks for helping me catch that mistake

Answer 53

no problem
how many more?

Answer 54

one more!

Answer 55

lets knock it out quick!!

Answer 56

do you want me to open up another question?

Answer 57

nah you can put it here if you like
my last one for the night

Answer 58

Suppose a lab needs to make 450 liters of a 37% acid solution, but the only solutions available to the lab are 20% acid and 65% acid. What system of equations can be used to find the number of liters of each solution that should be mixed to make the 37% solution? Let c represent the number of liters of 20% acid solution and let d represent the number of liters of 65% acid solution.

Answer 59

damn so you actually have to type in the equation with \(c\) and \(d\) right?

Answer 60

yepp!

Answer 61

oh but it is easy because is it multiple choice!!
clearly
\[c+d=450\] so you can skip the others

Answer 62

then
\[.2c+.65d=.37\times 450\]for the other one

Answer 63

yeah i was about to say i had a feeling it was that one

Answer 64

a very rate A answer

Answer 65

what is next, or is that all?

Answer 66

yeah i was skeptical was going more for d

Answer 67

that's all!

Answer 68

you don't have to solve it?

Answer 69

no!

Answer 70

ok then i have a questtion
why are you taking an exam in the middle of july?

Answer 71

seriously thank you so much for helping me with all these problems and being patient with me i was always surprised when you were answering my problems because i thought you were annoyed of how slow i was but thank you so much!!

Answer 72

retaking algebra

Answer 73

hope you pass!
you are welcome and now i will not bother you any more, i know how you feel about that

Answer 74

why are people on open study seriously trying to have a conversation with me like i'm just here to learn math not make friends wtf


ho ho ho ho !!!!

Answer 75

LOL omg no

Answer 76

people would ask if i was single

Answer 77

oh i see

Answer 78

and people would tell me their whole life story

Answer 79

and all their interests etc

Answer 80

tmi as we say
k i am off
good luck
hope you passed

Answer 81

it's normal on twitter to use someone else as your icon so i thought it'd be normal to use one of the people i admire as my icon but i guess thats not the case

Answer 82

yeah people do it all the time

Answer 83

thank you so much once again

Answer 84

yw (again) and gnight

Answer 85

goodnight