Question

Please help @ModernPraise97. There were 300 people at a play. Some paid $5.00 for reserved seats; others paid $3.00 for general seats. Total receipts were $1,080. How many tickets of each kind were sold?

Answer 1

alright snow so we have our two equations

R = reserved
g = general seats

we know that there are 300 people, soooo

r + g = 300

so we can derive this equation

5r + 3g = 1,080

make sense so far?

Answer 2

I think so ,Adam. It is just that so far in this section that I have been doing something a little different. I have been taught so far that in problems like this I am suppose to let x=one of the variables and x-something is suppose to be the other variable.:)

Answer 3

its so much easier to say:

g = 300 - r

then substitute for g in the other equation

5r + 3(300 - r) = 1,080

5r + 900 - 3r = 1,080

2r + 900 = 1,080

2r = 180

r = 90

then substitute for the first equation

g + 90 = 300

g = 210

so reserved is 90 and general is 210... but I can try and work it out the way your saying... I'm not sure how far I will get though.

Answer 4

Oh that is ok maybe I can do it this way Hold on just one sec... I will take a look at this. I have done it this way before just not in this section.:)

Answer 5

ok :)

Answer 6

I totally got this answer! It is just that my teachers are usually kind of picky on whether I did it the way the new section had it. Anyway can we do another problem???... did you get my last text???

Answer 7

we can do another one sure :)

Answer 8

As far as you sending me a link of you singing you can send it to jaboyce@gmail.com:)

Answer 9

Ok. here is another... A housewife paid $7.80 for 5 kilograms of peanuts and 3 kilograms of walnuts. Walnuts are $0.20 a kilogram more than peanuts. How much did she pay per kilogram for each?

Answer 10

hmmm... I don't know where to start with this... let me examine it..

Answer 11

Ok:) No problem thanks for helping and take your time:)

Answer 12

no problem! :) I think it has something to do with... 5p + 3w = 7.80...

Answer 13

Maybe your right. Let me think about that one quick second.:)

Answer 14

ok :)

Answer 15

I just have one thought on it though... Cold it be that:

x=amount for peanuts
x+0.20x=amount for walnuts

5x+3(x+0.20x)=$7.80

Answer 16

yes that looks very good :)

Answer 17

Then x would =$0.90

that would mean that 5 kilograms of peanuts is $4.50 and...

$1.08 amount for walnuts.

I guess that wouldn't quit work what do you think??? Could I just be doing some simple math wrong?

Answer 18

its not 0.20x just 0.20 so:

5x + 3x + 0.60 = 7.80

8x = 7.20

x = 0.90

now we say 4.50 for peanuts and:

x = 0.90 + 0.20

x = 1.10

(1.10)3

3.30

4.50 + 3.30 = 7.80

:))

Answer 19

Ohhh I see! Could I transfer this problem and then work out some more problems with you?
I think it just helps to have you right there with me:)

Answer 20

no prob snow :)

Answer 21

Alright are you ready, Adam?

Answer 22

yes ma'am!

Answer 23

Ok then here it is... Ace's father has 20%-antifreeze solution. How many liters of antifreeze must be added to make a 50%-antifreeze solution?
By the way I love my nick name:)Adam

Answer 24

haha good I'm glad :) thats all the information in the question?!

Answer 25

The booklet has this formula written out:

x=number of liters of antifreeze to be added.
20%(10L) + 100%(x) = 50%(10L +x)

Answer 26

woah.

Answer 27

It also has this: (Hint: the product to be added is 100% antifreeze)

Answer 28

It also tells me to make all the percents into decimal fractions if that helps:)

Answer 29

ok...

20 50
---(10) + x = --- (10 + x)
100 100

Answer 30

sorry I'm not really seeing what you did here. What are the---

Answer 31

Oh sorry I am just being stupid I see what u did know:)

Answer 32

I mean "now" lol

Answer 33

but would it not be:

0.20(10L) +0.100x=0.50(10L+x)

Answer 34

yeah... but its like... what now? lol

Answer 35

I think I just solve for x, but then there is that L?!lol

Answer 36

This is what I have so far:

0.20(10L) +0.100x=0.50(10L+x)

2L+0.100x=5L+0.50x

0.50x=3L

Like you said though it's like what now??? lol

Answer 37

hahaha yeah.. thats weird...

Answer 38

Do you have any ideas?:) Your suppose to be the smart one here junior!:)

Answer 39

LOL

Answer 40

haha very true but I actually have to go :O im sorry..

Answer 41

text me though... ok snow? :)

Answer 42

Don't worry I will, Adam! Do you mean you can't use the computor anymore or you won't be available?

Answer 43

Iwill be on the move, but will still have my phone :)

Answer 44

bye!

Answer 45

Ok sounds great I will text you. I just have to eat supper in about 10 minutes. So be on the watch for my text in about 30 to 40 minutes, OK? Bye Adam

Answer 46

alright :) bye snow