Question

A sports drink requires two scoops of powder for every 500 mL of water. What is the consequence of mixing 10 scoops of powder with 5 L of water?

Answer 1

like will the water be to concentrated or will it be to watery?

Answer 2

\[2:500, 10:5000\]

Answer 3

something like this?

Answer 4

if I do 2/500 = 0.004. What does the 0.004 mean??

Answer 5

ok.. so the ratio is

2/500 = 10/x

then

x = (10 x 500)/2

which means that for 10 scoops... you need 2500 ml

if you use 5000ml then it will be diluted to 1/2 strength

hope it helps

Answer 6

2 : 1/2 <=> 4 : 1

10 : 5 <=> 2 : 1

Answer 7

*Looks the concentration is getting HALVED with "10 scoops + 5L water"

Answer 8

who wants medal?

Answer 9

explain dis plz
"2 : 1/2 <=> 4 : 1"
10 : 5 <=> 2 : 1"

Answer 10

how you turn 500 ml to 1/2?

Answer 11

and 4:1??

Answer 12

500ml = 1/2 L

Answer 13

oh true

Answer 14

`A sports drink requires "two" scoops of powder for every "500 mL" of water`

translates to :

2 : 1/2

Answer 15

which is same as :

4 : 1

Answer 16

we can multiply ratios by numbers - they wont be affected

Answer 17

but written as a fraction it would be 2/500?

Answer 18

yes : \(\dfrac{2}{500ml} = \dfrac{2}{\frac{1}{2}L}\)

Answer 19

let me rephrase the problem and give u

Answer 20

when i put it on the calculator it gets different answers doh

Answer 21

A sports drink requires two scoops of powder for every \(\color{red}{\dfrac{1}{2}L}\) of water. What is the consequence of mixing 10 scoops of powder with 5 L of water?

Answer 22

just keep things in mL

its the given measurements...

don't confuse things by changing the given measurements.

Answer 23

you need to change everything into mL or L, its your choice !
btw you're given things in mL alone

Answer 24

just know 5000 ml = 5L

however either method gives the same answer... as long as the units of capacity are the same

Answer 25

*btw you're NOT given things in mL alone

Answer 26

this is what i'd do,
2/500 = 0.004
10/5000 = 0.002

Answer 27

but what the heck does that answer even mean??

Answer 28

am i even doing it right?

Answer 29

you're doing it right, since u are using mL, the answer resulted in decimals and it is becoming hard to interpret

Answer 30

ahh i get it.

Answer 31

2/500 = 0.004
10/5000 = 0.002

just means this : the ratio has decreased by a factor of 2

Answer 32

what would be the easiest method then?

Answer 33

above should make sense after scratching ur head 2-3 times ?

Answer 34

": the ratio has decreased by a factor of 2" wut mean?

Answer 35

0.002 = 0.004/2

so clearly the ratio has \(\cdots \)
fill in whichever makes sense to u

Answer 36

i mean what unit of measurement is the 0.002?

Answer 37

10/5000 = 0.002

10 scoops per 5000mL of water

so the unit is scoops/mL

Answer 38

which is clearly a nonsense unit

Answer 39

rofl

Answer 40

change it to L and work it agian, you will ask less questions then :P

Answer 41

could you do it for me in L please?

Answer 42

A sports drink requires two scoops of powder for every 500 mL of water. What is the consequence of mixing 10 scoops of powder with 5 L of water?

Answer 43

\(two ~scoops\) for every \(500ml \)
that means how many scoops for every \(L\) ?

Answer 44

1000 ml = 1L
500 = 1/2 L

Answer 45

yes \(two ~scoops\) are there for every \(1/2L\) of water
so that makes \(four ~scoops \) for every \(1L\) of water

Answer 46

the ratio in \(L\) is :
\(4 : 1\)

Answer 47

if that makes any sense...

Answer 48

ah you just increased the ratio proportionally.

Answer 49

by 2

Answer 50

doubled it

Answer 51

exactly !

Answer 52

so the required ratio is \(4 : 1\)
(four scoops for every 1L of water)

Answer 53

does that look pleasing... to interpret ?

Answer 54

yes.

Answer 55

ahhh so so increasing the ratio proportionally makes it easier to interpret?

Answer 56

yes somehow our brain catches natural numbers like 1,2,3,4... more quickly than bfractions/decimals lol

Answer 57

lololol your dispaly pic is so funny.

Answer 58

anyway lets go back to the 0.002, what does this mean exactly?

Answer 59

0.002 scoops per mL of water

Answer 60

1 = 1 school?

Answer 61

scoop*

Answer 62

rofl

Answer 63

like if you add .998 to 0.002 = 1 scoop?

Answer 64

its like measuring ur height with a kilometer scale

Answer 65

my height is 0.0016KM
interpret that^

Answer 66

roflcopter lolol i get it.

Answer 67

which is technically okay, but it hurts ur head very badly
u will never knw that easily whats my height is

Answer 68

i mean i get what your trying to say, not your height in kilometers lol

Answer 69

ya... with that number i can't imagine how tall you are. But if you told me something like your 6ft i'd definitely know how tall you are.

Answer 70

exactly !
so lets change `0.002 scoops per mL` to something practical units

Answer 71

0.002 scoops per mL

0.002*1000 scopps per 1L
2 scoops per 1L

Answer 72

now it should be easy to interpret ^

Answer 73

0.002 scoops per mL

is same as saying :
2 scoops per 1Liter

Answer 74

wtf? that's wrong 2 scoops per 500 ml
2:1/2 = 4:1

Answer 75

it's 4 scoops per liter lol

Answer 76

4 scoops per liter is the requirement

Answer 77

2 scoops per liter is what u get by combining `5 scoops with 10 liters of water`

Answer 78

2/500 = 0.004
10/5000 = 0.002

Answer 79

"2 scoops per liter is what u get by combining 5 scoops with 10 liters of water" Are you asking me or telling me?

Answer 80

telling you :/

Answer 81

wtf?

Answer 82

wouldn't it be the same answer then?

Answer 83

2/500 = 0.004 10/5000 = 0.002

Answer 84

lol i'm really sorry, i'm trying to get this.

Answer 85

do you think i'm over thinking this?

Answer 86

nope, u need to start over and work it purely in liters

Answer 87

and u need to forget about 0.002 and mL completely

Answer 88

okay then so I'll write the out the answer to the question now

Answer 89

and you tell me wut you think

Answer 90

my first reply in this thread has everything thats needed, but im not sure u understood it...

Answer 91

\[\frac{ 2 }{ 0.5 } \times \frac{ 2 }{ 2} = \frac{ 4 }{ 1 }\]

Answer 92

i just doubled the recipe lol

Answer 93

looks good^

Answer 94

\[\frac{ 10 }{ 5 } = 2 scoops/L\]

Answer 95

\[\frac{ 4 }{ 1}= 4scoops/L\]

Answer 96

yes, compare them both

Answer 97

which one has more scoops per L ?

Answer 98

the 4/1 one