Question

2. Olivia is buying juice boxes for a party. She is comparing two brands to determine the best price. The price for a carton containing 8 boxes of All Natural Juice is $2.80. The price for a carton containing 6 boxes of Just Juice is $1.98.

(a) What is the difference between the unit prices of each brand of juice? Show your work.
(b) Olivia paid $7.92 for several cartons of Just Juice. How many cartons did she purchase? What would the price be for the same number of juice boxes of All Natural Juice? Show your work.

Answer 1

Explanation:

The price for a carton containing 8 boxes of All Natural Juice is $2.80. This means that the price for 1 box of All Natural Juice is

2.8/8 = $0.35

The price for a carton containing 6 boxes of Just Juice is $1.98. This means that the price for 1 box of Just Juice is

1.98/6 = $0.33

a) The difference between the unit prices of each brand of juice is

0.35 - 0.33 = $0.02

b) Olivia paid $7.92 for several cartons of Just Juice. Therefore, the number of cartons that she purchased is

7.92/1.98 = 4 cartons

The number of juice boxes in 4 cartons is 4 × 6 = 24

The price 24 boxes of All Natural Juice is

24 × 0.35 = $8.4