Question

Last one, What is the cost in dollars to steam clean a room W yards wide and L yards long it the steam cleaners charge 10 cents per square foot?
A. 0.9WL B. 0.3WL C. 0.1WL D. 9WL E. 3WL

Answer 1

my guess is D

Answer 2

now we can imagine that we have a box right? and the total area will be L*W square yards.

now if we know that we have 10 cents per square foot right? that would be 10 cents per (1/9) square yards.

the way to represent the total cost would be L*W


\[(\frac{ 0.10~cents }{ \frac{ 1 }{ 9 } yard^{2} })*L*W (yard^{2}) = cost \]

\[(\frac{ 0.10~cents }{ \frac{ 1 }{ 9 } \cancel\yard^{2} })*L*W (\cancel\yard^{2}) = cost \]

Answer 3

So a?

Answer 4

but do you see how the units cancel out?

Answer 5

@Ashtorah13 this is probably one of the most important parts to problem solving

Answer 6

Ya I do

Answer 7

yards cancel out. and we're left with the cost in cents. another important thing I did was convert square feet to square yards.

Answer 8

\[\frac{ \frac{ 1 }{ 10 } }{ \frac{ 1 }{ 9 } } = \frac{ 9 }{ 10 }\]

Answer 9

If you're interested in the whole complex fraction

\[\frac{ \frac{ 1 }{ 10 }*90 }{ \frac{ 1 }{ 9 }*90 } = \frac{ \frac{ 90 }{ 10 } }{ 10 } = \frac{ 9 }{ 10 }\]

Answer 10

HAHA I seem to be lacking my basic math tonight. I had to rethink how you got 9/10 then figured it out cause when you divide you flip the second fraction and multiply them straight across.

Answer 11

check out how I did it. you can use a complex fraction or just do this @Ashtorah13

Answer 12

\[\frac{ 1 }{10 } \div \frac{ 9 }{ 10 }\]

KEEP THE FIRST FRACTION

CHANGE THE SIGN TO MULTIPLICATION

FLIP THE LAST FRACTION

\[\frac{ 1 }{ 10 }*(\frac{ 1 }{ 9}) = \frac{ 1 }{ 10 }*(\frac{ 9 }{ 1 }) = \frac{ 9 }{ 10 }\]

Answer 13

I liked the less complex one. but since 9/10 is .9 it would be answer A cause we still cant sold lw so it would be .9LW

Answer 14

Sorry that should be (1/9)

Answer 15

yep exactly, 0.9LW

Answer 16

Thanks so much!

Answer 17

yep the second method i used was actually easier and less work

Answer 18

I am the type that needs the work for problems to make since.

Answer 19

if you're stuck try this one

Answer 20

\[\frac{ 1 }{ 10 } \div \frac{ 1 }{ 3 }\]

Answer 21

3/10

Answer 22

or .3

Answer 23

how did you get that?

Answer 24

you flip the second fraction them multiply. Thats how i remember "dividing" fractions was taught to me in high school anyway.

Answer 25

always good to refresh on this stuff

Answer 26

it seems trivial but it will help you greatly

Answer 27

Definitely. Oh no I like it. I am trying to get into collage.

Answer 28

another thing is to solve equations first before plugging in the numbers like identify the variable you want to solve for FIRST.

Answer 29

look into dimensional analysis, algebra I.

Answer 30

will do. I am off to bed to absorb all i have relearned. Thanks again!

Answer 31

np take care