Question

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?

Answer 1

i hate word problems

Answer 2

me too =(

Answer 3

we can find the unit rate per worker i guess

Answer 4

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

Answer 5

ten workers can build one third of a house per day

Answer 6

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

Answer 7

yea

Answer 8

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

Answer 9

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

Answer 10

but why do u divide instead of multiplying?

Answer 11

ok lets go slow

Answer 12

k

Answer 13

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

Answer 14

yes

Answer 15

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

Answer 16

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

Answer 17

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

Answer 18

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

Answer 19

we are still not done though

Answer 20

ohhh ok

Answer 21

now you have 15 workers right?

Answer 22

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

Answer 23

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

Answer 24

2/15

Answer 25

hmm no careful

Answer 26

what is fifteen times one thirtieth?

Answer 27

i simpilfied

Answer 28

not correctly though

Answer 29

15/30= 1=2

Answer 30

oops 1/2

Answer 31

1/2 right

Answer 32

yea

Answer 33

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

Answer 34

how long before they build 4 houses?

Answer 35

so do 1/2 * 4?

Answer 36

again lets go slow

Answer 37

kk

Answer 38

they build half a house per day right?

Answer 39

yes

Answer 40

so one house takes how long to build?

Answer 41

1 house every 2 days

Answer 42

right

Answer 43

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

Answer 44

proportions

Answer 45

?