Lloyd used

1/4

pounds of chocolate to make

2/3

gallons of chocolate pudding. If Lloyd's recipe is for 1 gallon of pudding, how many pounds of chocolate will he need to make

1/3

the recipe?

Respuesta :

Answer:

To make [tex]\frac{1}{3}[/tex] gallons of pudding Lloyd will use [tex]\frac{1}{8}[/tex] pounds of chocolate.

Step-by-step explanation:

Lloyd used  [tex]\frac{1}{4}[/tex]   pounds of chocolate to make  [tex]\frac{2}{3}[/tex]  gallons of chocolate pudding.

Now, Lloyd's recipe is for 1 gallon of pudding and to make [tex]\frac{1}{3}[/tex] of the recipe means [tex]\frac{1}{3}[/tex] gallons of pudding.

So, to make 1 gallon of chocolate pudding Lloyd will use [tex](\frac{1}{4}\div \frac{2}{3}) = \frac{3}{8}[/tex] pounds of chocolate.

Hence, to make [tex]\frac{1}{3}[/tex] gallons of pudding Lloyd will use [tex](\frac{3}{8} \times \frac{1}{3}) = \frac{1}{8}[/tex] pounds of chocolate. (Answer)

Answer:

1/8           Got it from USA Test Prep so i know its right

Step-by-step explanation:

multiply the numerator by the reciprocal of the denominator.

unit rate =  

1 /4

2 /3

=  

1 /4

×  

3 /2

=  

3 /8

pounds per gallon

Therefore,  

1

3

the recipe:  

3 /8

×  

1 /3

=  

1 /8

pounds of chocolate