simplify... A pancake recipe asks for two and one third times as much milk as flour. If two and five eighths c

Question

A pancake recipe asks for two and one third times as much milk as flour. If two and five eighths cups of milk is used, what quantity of flour would then be needed, according to the recipe?

Thank you, I am helping a my cousin and he doesn't understand how to solve these.

Answer 1

Let x be the amount of flour needed.
Then 2 5/8 = 2 1/3x
So x = (2 5/8)/ (2 1/3) = (21/8)/(7/3) = 21/8 times 3/7= 9/8 = 1 1/8.
The answer is 1 1/8 cups of flour

Answer 2

Ellira above, and ironduke 8 above, are correct. The answer is 1 1/8 cup of flour. Here's a more detailed explanation:

Let F=the number of cups of flour needed. This is unknown. It's what we want to solve for.

Let M=the amount of milk. The problem states that M= 2 1/3 cups of flour, so we can say M = 2 1/3 F. In other words, M=7/3 F.

The problem also says to use 2 5/8 cup of milk, so we can say M = 2 5/8 cup, or in other words, M = 21 /8 cup.

Now since M = 7/3 F and M = 21/8 cup, then those two amounts are equal, so that 7/3 F = 21 /8 cup. The problem then is to solve for F:

7/3 F = 21 /8 cup.
Divide both sides of the equation by 7/3:
F = 21 /8 x 3/7 cup
F = 63 / 56 cup
F = 1 7/56 cup
F = 1 1/8 cup

which is just what ellira and ironduke8 said.

Answer 3

The pancake needs 2 1/3 times milk if flour is 1
if 2 5/8 cups of milk is used
flour needed = 1* 2 5/8/ 2 1/3
= (21/8) / (7/3)
= (21*3)/ (7*8)
= 9/8
= 1 1/8 cups
Check
if flour needed is 1 1/8
milk used = 2 1/3 times 1 1/8
= (7/3) * (9/8)
= 21/8
= 2 5/8
checks ok
so flour needed = 1 1/8 cups

Answer 4

One Third Times 5

Answer 5

u take 2 and 5 eighths times 2 and 1 third..to do that change the mixed numbers(2 5/8, 2 1/3) into improper fractions (21/8, 7/3) then multiply... to come up with 49/8, then put in simplest form.

2 5/8 times 2 1/3=6 1/8

Answer 6

One and 7/56 cups of flour.

Two and 1/3 equates to 7/3. Invert this and multiply by the quantity of milk in order to get the quantity of flour.

Cups of milk are two and 5/8 or 21/8. 3/7 X 21/8 = 63/56....or one and 7/56.

Answer 7

2 1/3=7/3
so 7/3 milk : 1 flour
2 5/8=21/8

(21/8)/(7/3)=x/1
(21/8)*(3/7)=x
63/56=x
9/8=x
x=1 1/8 cups of flour

Answer 8

It is 6 and 1/8 cups of flour.

2 and 5/8 cups of milk is 2.625 in a decimal form.
2 and 1/3 is 2.3333333 in a decimal form.

take 2.625 x 2.333333 and you get 6.125 (Rounded).

.125 back in fraction form is 1/8.

So you will need 6 and 1/8 cups of flour.

Answer 9

(2 + 2/3)f = 2 + 5/8
f = (2 + 5/8)/(2 + 2/3)
f = (21/8)/(8/3)
f = (21/8)/(3/8)
f = 63/64 C.

Answer 10

well.. its one and one eight of flour...