Question

Teacher says there is a solution to this problem....I disagree

Answer 1

the teacher is never wrong .... :)

Answer 2

I agree to disagree against agreeing.

Answer 3

My sis, who is going into 7th grade is having to take summer school because she failed the math portion of the STAR test. She was given homework and was having trouble with this problem. The teacher says there is a solution but I disagree. Here is the problem...

At the nut house, peanuts sell for $3 per lb and cashews sell for $6 per lb. If you want 3 lbs of peanuts and cashews that cost $5.25, how many cashews would you have ?

Answer 4

lol how many cashews... I hope you mean how many pounds :D

Answer 5

Let number of peanuts be P.

Cost of peanuts = (3P)

Number of Cashews = 3 - P

Cost of cashews = (3-P)(6)

Total Cost = 5.25 = 3P + (3-P)(6) = 3P + 18 - 6P = -3P + 18
5.25 = -3P + 18
3P = 12.75
P = 4.25

Number of Cashews = 3-4.25 = -1.25 = ???????????

Answer 6

I listed the problem.....
and yes, I mean how many lbs

Answer 7

it has to be 3 lbs

Answer 8

c + p = 3 ; p = 3 - c

3p + 6c = 5.25

3(3-c) + 6c = 5.25

9 -3c + 6c = 5.25

9 + 3c = 5.25, there IS a solution

Answer 9

and double lol at 'nut house'

Okay, enough of my nonsense... working on the problem now...

Answer 10

I keep getting a negative number on the cashews

Answer 11

this is how I set it up...
p + c = 3
3p + 6c = 5.25
Is this wrong ?

Answer 12

or is it 3 lbs of peanuts + how many lbs cashews

Answer 13

it is a total of 3 lbs (peanuts and cashews)

Answer 14

Then you set it up right.

Answer 15

but the cashews are coming out negative

Answer 16

Mixture problems...
Let x = number of cashews...

Answer 17

3p + 3c = 9
3c = -3.75 ?????????

Answer 18

LOL I meant lbs of cashews...
naturally, the amount of peanuts should be
3 - x

Answer 19

if you read it as: 3 lbs of peanuts + n lbs of cashews = 5.45 ....

Answer 20

Yeah @terenzreignz They been doing it wrong.

Answer 21

it is 3 lbs cashews and peanuts

Answer 22

But the problem-maker set it up wrong. What a poor mathematician.

Answer 23

for $5.25

Answer 24

So, the price of a pound of peanut is $3
and the price of a pound of cashews is $6

So...
price times component plus price times component = price times mixture

Answer 25

you want 3 lbs of cashews and peanuts for 5.25

Answer 26

We get...
3(3-x) + 6(x) = 5.25(3)
9 - 3x + 6x = 15.75
9 + 3x = 15.75
3x = 6.75
x = 2.25

Answer 27

Makes sense, yeah? Cost of the mixture is almost 6 dollars, so there should be considerably more cashews than peanuts (0.75 lbs)

Answer 28

Bingo!

Answer 29

si is that 2.25 lbs of cashews ?

Answer 30

Si, 2.25 :)

Answer 31

Wouldn't really make sense if the entire 3lbs of the mixture cost 5.25
(Implying that the cost of a pound is somewhere between 1 and 2... cheaper than the the cheapest component, peanuts)

Answer 32

The entire 3 lb mixture is supposed to cost 5.25

Answer 33

That's just maddeningly unreal :D
3lbs of peanuts rightly (?) cost 9 dollars
3lbs of cashews cost 18 dollars.

But 3lbs of a mixture is only 5.25?
Come on... :D

Answer 34

That is why I thought the problem could not possibly work

Answer 35

Did the teacher affirm that the 3lbs of the mixture should cost 5.25?

Answer 36

yes....that is why I am confused

Answer 37

Better ask again. This time, demonstrate.
The teacher might have made a mistake... a mistake was made somewhere... by someone... who is yet unknown :)

Answer 38

I will ask again....that is why I disagreed, because you can't get peanuts and cashews both for 5.25 and have 3 lbs

Answer 39

mhmm :)

Answer 40

thank you so much for your time

Answer 41

^_^