Question

A two-liter cola costs $1.19 and 6 cans each containing 16 oz cost $1.59. Which is the better buy and by how much?

Answer 1

Answer:

THe 16 Oz is cheaper by $0.036 per unit

Step-by-step explanation:

Given

A 2-litre cola;

Size = 2 litre

Total Cost = $1.19

6 cans;

Size = 16 Oz each

Size = 16 * 6 = 96 Oz.

Total Cost = $1.59

Required?

Which is a better buy.

By "being a better buy", we assume that it means cheaper.

To calculate the cheaper buy, first we need to convert the containers to the same unit.

We'll convert 96 Oz to litres

1 Oz = 0.0295735 litre

To get the size of 96 Oz, we can simply multiply both sides of the equation by 96. This gives

96 * 1 Oz = 96 * 0.0295735 litre

96 Oz = 2.839056

Then, we'll calculate the unit price;

Unit price is calculated by Total price / Size

For the 2-litre cola;

Size = 2 litre

Total Cost = $1.19

Unit Price = $1.19/2 litre

Unit Price = $0.596 per litre

6 cans;

Size = 16 Oz each

Size = 16 * 6 = 96 Oz = 2.839056 litre

Total Cost = $1.59

Unit Price = $1.59/2.839056 litre

Unit Price = $0.560 per litre

The unit cost of the 16oz is smaller than the 2 litre bottle, hence we conclude that the 16 Oz is cheaper.

And it is cheaper by ($0.596 - $0.560)

= $0.036

Answer 2

The 6 cans, containing 16 oz each is the better buy.
16x6= 96 oz
96 oz converted to liters, is 2.83906 liters.
So it's better to buy the cans by .83906