Question

a sports outlet recieved 80 baseball gloves. there were four times as many tan gloves as black. how many gloves of each color were in the shipment? write an equation and solve.

Answer 1

Hi there. Do you need help solving this?

Answer 2

yes

Answer 3

ok let's call X the number of black cloves. there are 4 times as many tan gloves, so, how would you write that in terms of X?

Answer 4

idk

Answer 5

how do you write "4 times X"?

Answer 6

would you do 4x=80

Answer 7

The sum of black gloves (X) and tan gloves (4x) is 80. How would you write that?

Answer 8

4x+x=80?

Answer 9

right

Answer 10

ok the you solve it and it would be

Answer 11

you tell me; how do you solve?

Answer 12

would you add the xs so it would be 4 times 2

Answer 13

yes you add the x's, but where do you get 4 times 2?

Answer 14

would you multiply 4 and 2 or add them

Answer 15

where are you getting a '2' from?

Answer 16

If you add 4x and x, what do you get?

Answer 17

6

Answer 18

huh? where do you get 6 from?

Answer 19

doesnt one x equal 1

Answer 20

"x" is the same as "1x".

Answer 21

so tboth of the xs would equal 2 right

Answer 22

4x + 1x does not equal 6x. Replace "x" with the word "marble". What do you get when you combine 4 marbles with 1 marble?

Answer 23

5

Answer 24

ok, so 4x + x = ...?

Answer 25

5x

Answer 26

yep

Answer 27

so wait would the equation be 5x =80

Answer 28

right

Answer 29

then the answer would be hold on

Answer 30

16

Answer 31

yep

Answer 32

can you help me on another one please

Answer 33

you haven't solved the first one completely yet. x=16 so what does that mean in terms of the original question?

Answer 34

isnt it 16 gloves

Answer 35

oh just kidding

Answer 36

there are 2 colors of gloves and they want to know how many of each

Answer 37

is it 16 black and 64 tan gloves

Answer 38

you got it

Answer 39

now will you help me with another question

Answer 40

ok

Answer 41

you and your friends are making favors for a charity party. you make a profit of half a dollar per favor. how many must you sell to make a profit of at least $250? write and solve an inequality

Answer 42

call the number of favors you sell 'x'. how much profit do you make if you sell 'x' favors?

Answer 43

idk

Answer 44

2x<250?

Answer 45

forget the inequality and 250 for a minute

Answer 46

how much profit do you make on one favor?

Answer 47

.50

Answer 48

so how much would you make on 2 favors?

Answer 49

1

Answer 50

how much on 4 favors?

Answer 51

2

Answer 52

and how much on X favors?

Answer 53

i dont know what x is

Answer 54

.50

Answer 55

how did you compute the amount you made on 4 favors?

Answer 56

i multiplied .50 by 4

Answer 57

so you do the exact same thing if there are 'X' favors, even if you don't know what 'X' is yet. just multiply 0.50 by X instead of multiplying it by 4.

Answer 58

but x has to be a number if it has to be multiplied you cant multiply just x unless x equaled like 1

Answer 59

what i'm about to say is going to blow your mind. You CAN multiply x by something even if it's not a number. If you multiply X by 4, for example, you get "4X".

Answer 60

"4x" just means "4 multiplied by x"

Answer 61

oh duh is it just liek multiplying 4 and 1

Answer 62

yeah exactly

Answer 63

so now, if I tell you that you sell 'X' favors, how would you write the amount of money you made?

Answer 64

so .50x

Answer 65

YES! that's awesome!

Answer 66

So now you've told me that if you sell X favors, the amount of money you'll make is 0.50X. So now one last part, you want that amount of money you make to be greater than 250. so now write the whole inequality?

Answer 67

.50x<250

Answer 68

you're so close. remember that "<" means "less than". ">" means "greater than"

Answer 69

you want the amount you make to be greater than 250

Answer 70

and 0.50x is the amount you make

Answer 71

just kidding .50x>250

Answer 72

would it be greater than and waqual to or just greater than

Answer 73

yep you got it. greater than or equal vs. greater than just depends on what the problem asked for. did it ask for the profit to be greater than 250, or greater than or equal to 250?

Answer 74

just greater than
i guess

Answer 75

yep. now solve for x by dividing both sides by 0.50.

Answer 76

500

Answer 77

yup thats it

Answer 78

there you go. i'm proud of you.

Answer 79

yea thanks by the way im in the lower math class couldnt you tell

Answer 80

i had no idea what grade you were in, you could be in a low math class of 10th grade or a really high math class of 5th:-)

Answer 81

low math class of 8th

Answer 82

but thanks anyway

Answer 83

well it's all good