Question

somebody please help me i will become a fan and give you a medal

Answer 1

Harry can rake the leaves in the yard 8 hours faster than his little brother Jimmy can. If they work together, they can complete the job in 3 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Jimmy to complete this job on his own.

Answer 2

@Destinymasha

Answer 3

but i'm not sure if I can answer this... :P
What do you think @Destinymasha

Answer 4

im not too sure , either ;/

Answer 5

sorry @prettygirlrock0804

Answer 6

its ok:( i will keep asking until i find somebody to help

Answer 7

@Glizzy_Nedd @sourwing @xylenaxoxo @Mchilds15 @FibonacciChick666 @xTabbiitthhaa @peachesncream @yocurtisyo @Isaiah.Feynman

Answer 8

so, let's look at this in terms of numbers and variables first

Answer 9

we want to set up an eq using both harry and jimmy's time

Answer 10

but with only one variable, any ideas?

Answer 11

3/8=1/x? @FibonacciChick666

Answer 12

not quite. There are no fractions or multiplication in this one.

Answer 13

so let's say you have $5 your sister has $3 more than you, how many $ does she have?

Answer 14

7

Answer 15

how did you get 7?

Answer 16

adding 5 and 3

Answer 17

check your addition?

Answer 18

meant 8

Answer 19

pressed the wrong number

Answer 20

ok good now this problem would be the same as saying your sister has $3 more than you, together you have $13. How much money do you have?

Answer 21

5 dollars

Answer 22

right??

Answer 23

yep

Answer 24

now how did you slove that?

Answer 25

i solved it from first subtracting 3 away from 13 which i ended up with 10 and since its 2 of us i divided 10 by 2 and got 5

Answer 26

ok, that is not quite the right way to do that

Answer 27

but it was effective

Answer 28

ok well what is the right way to do this

Answer 29

so, if we know you have say x dollars and your sister has $3 more than you. you can say she has x+3 dollars

Answer 30

right

Answer 31

now, together you have 13 dolars. so you can say x+(x+3)=13 right?

Answer 32

now, you do the same math as you just told me, but for different reasons

Answer 33

so can you step by step solve that eq?

Answer 34

ok yeah now i get it

Answer 35

so, tell me how you solved that

Answer 36

x+(x+8)=3 is that right?

Answer 37

or do i switch the number around

Answer 38

would it be a plus 8 or a minus 8?

Answer 39

minus

Answer 40

so what is your new eq?

Answer 41

x+(x-8)=3

Answer 42

yup now solve for x

Answer 43

we would distribute the x first right

Answer 44

distribute?

Answer 45

is this addition or multiplication?

Answer 46

never mind forget that i said that

Answer 47

ok

Answer 48

addition

Answer 49

now can you combine any like terms?

Answer 50

yes the x

Answer 51

so what does our eq become?

Answer 52

x^2??

Answer 53

when you combine like terms its x^2-8=3

Answer 54

not quite, we want (x+x) ie. 3b+4b=(b+b+b)+(b+b+b+b)=7b

Answer 55

ok so it would be x+x-8=3?

Answer 56

@FibonacciChick666

Answer 57

yes, but you still need to combine like terms

Answer 58

we would combine -8+3

Answer 59

show me what you mean

Answer 60

-8+3=-5....isnt -8 and 3 like terms

Answer 61

not quite, so you have x+x-8=3 right?

Answer 62

yes

Answer 63

so what do we do to both sides to get just x's on the left?

Answer 64

minus x

Answer 65

no

Answer 66

idk

Answer 67

first what is x+x

Answer 68

2x

Answer 69

is 2+2=2?

Answer 70

which one is it?

Answer 71

2x

Answer 72

@FibonacciChick666

Answer 73

hello @FibonacciChick666

Answer 74

right so that gives us what?

Answer 75

2x-8=3

Answer 76

good now what?