If it takes 3 days for 10 workers to finish building one house, how may days will it take 15 workers to finish 4 houses?

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- anonymous

i hate word problems

- anonymous

me too =(

- anonymous

we can find the unit rate per worker i guess

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## More answers

- anonymous

hows that? all i know is, is that they build 1 house in 3 days so 1/3

- anonymous

ten workers can build one third of a house per day

- anonymous

so each worker builds \(\frac{1}{30}\) of a house per day
that is the unit rate per worker

- anonymous

yea

- anonymous

how did u get that/. and y do u divide or multiply?

- anonymous

i divided \(\frac{1}{3}\) by \(10\) to get \(\frac{1}{30}\)

- anonymous

but why do u divide instead of multiplying?

- anonymous

ok lets go slow

- anonymous

k

- anonymous

you already said the \(\frac{1}{3}\) of a house per day right?

- anonymous

yes

- anonymous

but that was not for one worker, that is for 10 workers working together

- anonymous

ohhhhhhh i see so to find how much they get done PER WORKER we have to divide!!

- anonymous

so each single worker does one -tenth of that work i.e.
\[\frac{1}{3}\times \frac{1}{10}=\frac{1}{30}\]

- anonymous

right divide by 10 or multiply by 1/10 same thing

- anonymous

we are still not done though

- anonymous

ohhh ok

- anonymous

now you have 15 workers right?

- anonymous

yea so multiply by 15 to see how much work 15 workers can do

- anonymous

exactly \[15\times \frac{1}{30}=?\]

- anonymous

2/15

- anonymous

hmm no careful

- anonymous

what is fifteen times one thirtieth?

- anonymous

i simpilfied

- anonymous

not correctly though

- anonymous

15/30= 1=2

- anonymous

oops 1/2

- anonymous

1/2 right

- anonymous

yea

- anonymous

they build half a house per day
one how in two days

- anonymous

how long before they build 4 houses?

- anonymous

so do 1/2 * 4?

- anonymous

again lets go slow

- anonymous

kk

- anonymous

they build half a house per day right?

- anonymous

yes

- anonymous

so one house takes how long to build?

- anonymous

1 house every 2 days

- anonymous

right

- anonymous

if it takes two days to build one house, how long to build four?

- anonymous

proportions

- anonymous

?

- anonymous

|dw:1436380956032:dw|

- anonymous

one house in two days
two houses in four days
three houses in six days
four houses in eight days

- anonymous

or your way

- anonymous

or
\[\frac{1}{2}T=4\\
T=4\times 2\]

- anonymous

ahhhhh i c.... nice thank you satellite <3333

- anonymous

any way you choose

- anonymous

yw

- anonymous

even though you are not my moma's boyfriend

- anonymous

kekekeke it's an inside joke between me and my friends

- anonymous

oooh

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