Question

Can I please get help solving a story problem?

Answer 1

Can you tell us the story....please?

Answer 2

Madison is making a vinigrette for her catering service using olive oil that cost forty cent per ounce and apple cider vinegar that cost twenty five cents an ounce. The ideal batch of vinaigrette has 25% vinegar. If she has already combined 3 cups of vinegar and 1 cup of oil, how many cups of oil should she add? What is the total cost of her competed recipe?

Answer 3

there are several steps to this.
first we need to figure out how much oil to add
What do we know about the quantities of ving and oil?

Answer 4

how much ving in an ideal batch?

Answer 5

25%

Answer 6

right.... so
ving is going to be 25% of the batch, now I am going to translate it into an equation
V = 25% ( B )

Answer 7

now what do we know, the amt of ving or the amt of the batch?

Answer 8

the amout of vingar?

Answer 9

right how much we got?

Answer 10

3 cups?

Answer 11

right so lets plug that into our equation
V = 25% (B )
3 = 25%( B ) now we wont leave this percent
number like this, do you know how
change it into a numer we can use?

Answer 12

.25?

Answer 13

perfect!
so now the equation is 3 = .25(B) now remember the B
stands for a full Batch
how dowe get the B by itself?

Answer 14

move the .25 to the other side

Answer 15

you are right we have to get rid of it, what math operation is going on between the .25 and the B?

Answer 16

add sub mult or div?

Answer 17

divide

Answer 18

the .25 i being mult by the B, so we divide both sides by .25

what is 3 divided by .25

Answer 19

do you have a calculator?

Answer 20

12?

Answer 21

nice.... now we know the total batch was 12 cups
now the question is how much oil do we add
we have 3 c Ving + 1 C Oil, how much more oil will we need to make the
ving plus the oil equal 12 cups/

Answer 22

Hw much liquid (oil and ving) did we put in?

Answer 23

we already had one cup of oil and three cups of vinegar

Answer 24

how much is that togethr?

Answer 25

what is 1 + 3?

Answer 26

4

Answer 27

right so what plus 4 equal 12 .....a full batch

Answer 28

8

Answer 29

good, 8 is the number of cup we have to add

Answer 30

so here is the final recipe
3 C Ving + 9 C Oil = 12 cups of incredible salad dressing.

now you need to know how much it costs, what do you know about how much oiland ving cost from the problem?

Answer 31

that olive oil cost 40 cents per ounce and apple cider viegar cost twenty five cents an ounce

Answer 32

all our measurments are in cups....

do you know how many ounces are in a cup?

Answer 33

no i dont

Answer 34

8 ounces in a cup.....so if
1 oz cost .40 what does 8 oz cost? mult it by 8

Answer 35

3.20

Answer 36

ok that is $3.20 for 1 cup of oil, how many cups of oil did we use in the recipe?
3 C Ving + 9 C Oil = 12 cups of incredible salad dressing.

Answer 37

9???

Answer 38

right,so how did all of th oil cost
9 * $3.20

Answer 39

28.80

Answer 40

9 cup oil cost $28.80


now we need to do the same thing with ving
1 oz of ving cost .25 how much does a cup cost?

.25 * 8 = _____

Answer 41

2.00

Answer 42

9 cup oil cost $28.80

1 cup ving cost $2.00
what does 3 cups of ving cost?

Answer 43

6.00

Answer 44

9 cup of oil 28.80
3 cup of ving 6.00
34.80 total cost

that should be it

Answer 45

Thank You SOOOOOOOO Much!!!!