2/3 cups of oat meal make 10 granola bars how many granola bars get made with 20 cups of oatmeal

Question

Im really conduced I tried dividing 

Answer 1

Dimensional analysis aids in solving many problems because you can cancel the units to verify the math.  you want to find out how many cups/bar or bars/cup whichever is more useful.  In this case bars/cup will be most useful since you will then want to multiply the ratio by 20cups.

 

10 granola bars can be made from (2/3) cups   (So divide the two)

 

10 bars/(2/3 cups) = 15 bars/cup       This ratio will never change, so now USE IT!!

 

15 bars/cup * (20cup) = 300 bars

 

 

Answer 2

We know from the first statement that

2/3 cup oat meal ⇒10 granola bars

 

now we know we have 20 cups of oatmeal how many granola bars can be made. 

 

If you think of this as two equivalent ratios we can set up the following equation

 

2/3 cup oatmeal      20 cups of oatmeal

-------------------  =  ---------------------

10 granola bars         ? granola bars

 

To simplify this explanation let the following variables 

A= 2/3 cup oatmeal

B = 10 granola bars

C = 20 cup oatmeal

x = # of granola bars made from 20 cups of oatmeal

 

so your equation becomes

 

A/B = C/x

 

we want to solve for x so if we multiply both sides by x we get

 

x(A/B) = x(C/x) = C

 

now we want x alone on the left side of the equation so we can divide each side by (A/B)

x(A/B)/(A/B) = C/(A/B)

 

x = C/(A/B) = C * (B/A)

 

if we put back our original values

 

x = 20 cups oatmeal * (10 granola bars)/(2/3 cup of oatmeal)

   = 20 *10/2/3 granola bars = 20 * 10 *3/2 granola bars

   = 300 granola bars

Answer 3

Hi Gracie;

(2/3) cup=10 bars

 

[(20) cups]/[(2/3) cups]=(x bars)/(10 bars)

Let's first notice that on the left side, the unit of cups is in the numerator and denominator.  These cancel.

Let's next notice that on the right side, the unit of bars is in the numerator and denominator.  These cancel.

[(20) cups]/[(2/3) cups]=(x bars)/(10 bars)

(20)/(2/3)=x/10

This can also be written as....

(3/2)(20)=x/10

60/2=x/10

30=x/10

Let's multiply both sides by 10...

30(10)=(x/10)(10)

300=x

 

Twenty cups of oatmeal would make 300 granola bars.