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lord [1]
3 years ago
10

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?

Mathematics
2 answers:
Lelu [443]3 years ago
6 0

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

larisa [96]3 years ago
4 0
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
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A gardener already has four and one over 2 ft of fencing in his garage. He wants to fence in a square garden for his flowers. Th
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<h2>Answer:</h2>

6\frac{1}{2}<u>, "six and one over two ft".</u>

<h2>Step-by-step explanation:</h2>

Let's considerate the fact that the garden has a <u>square shape</u>.

<h3>1. Finding values of interest.</h3>

Amount of fence that the gardener already has: 4\frac{1}{2} ft.

Length of one side: 2\frac{3}{4} ft.

If one side measures 2\frac{3}{4} ft, and the square garden has 4 sides of equal length, because it's a square, then we must multiply the measure of one side by 4 to find the total length of fence needed:

4*(2\frac{3}{4})=\\ \\4*(2+\frac{3}{4})=\\ \\(4*2)+(4*\frac{3}{4})=\\ \\8+(\frac{12}{4} )=\\ \\8+3=\\ \\11

<h3>2. How much more does he need?</h3>

The gardener already has  4\frac{1}{2} , which equals 4 + \frac{1}{2}. Hence, the difference between the amount needed and the amount that the gardeneralready has will give us the remaining amount required. Let's do that:

11-(4+\frac{1}{2} )=\\ \\11-(\frac{8}{2} +\frac{1}{2} )=\\ \\11-\frac{9}{2}= \\ \\\frac{22}{2} -\frac{9}{2}=\\\\ \frac{13}{2}

<h3>3. Express your result.</h3>

\frac{13}{2} =\\ \\\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{1}{2}= \\ \\6+\frac{1}{2}=\\ \\6\frac{1}{2}

8 0
2 years ago
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