Question

Orange juice is sold in four different sizes the 8 1/2 ounce bottle costs $0.99 the 18 2/2 oz. bottle costs $1.49 the 48 1/4 oz. carton costs $2.49 and the 64 3/4 oz. carton costs $3.75
1.calculate a unit rate for each size

2. which size is the best buy

Answer 1

Answer:

Part 1) The units rates are

A) $0.1165\frac{\ }{oz}$

B) $0.1656\frac{\ }{oz}$

C) $0.0516\frac{\ }{oz}$

D) $0.0579\frac{\ }{oz}$

Part 2) The best buy is the size 48 1/4 oz

Step-by-step explanation:

we know that

To find out the unit rate divide the total cost by the total volume

Part 1) Calculate the unit rate for each size

case A) we have

8 1/2 ounce bottle costs $0.99

Convert mixed number to an improper fraction

$8\frac{1}{2} =\frac{8*2+1}{2}=\frac{17}{2}\ oz$

Find the unit rate

$\frac{0.99}{(17/2)}= 0.1165\frac{\ }{oz}$

case B) we have

18 2/2 oz. bottle costs $1.49

Convert mixed number

$18\frac{2}{2} =18+1=19\ oz$

Find the unit rate

$\frac{1.49}{19}= 0.1656\frac{\ }{oz}$

case C) we have

48 1/4 oz. carton costs $2.49

Convert mixed number to an improper fraction

$48\frac{1}{4} =\frac{48*4+1}{4}=\frac{193}{4}\ oz$

Find the unit rate

$\frac{2.49}{(193/4)}= 0.0516\frac{\ }{oz}$

case D) we have

64 3/4 oz. carton costs $3.75

Convert mixed number to an improper fraction

$64\frac{3}{4} =\frac{64*4+3}{4}=\frac{259}{4}\ oz$

Find the unit rate

$\frac{3.75}{(259/4)}= 0.0579\frac{\ }{oz}$

Part 2) which size is the best buy

we know that

The best buy is the one with the smallest unit rate

so

$0.0516\frac{\ }{oz}$

The best buy is the size 48 1/4 oz