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max2010maxim
2 months ago
13

Cheese costs $4.40 per pound. Find the cost per kilogram. (1kg = 2.2lb)

Mathematics
1 answer:
AnnZ [12.3K]2 months ago
6 0

Answer:

The price amounts to $9.70 per kilogram.

Step-by-step explanation:

This can be resolved using the rule of three.

In a rule of three scenario, the first step involves determining how the values are related, whether directly or inversely.

A direct relationship implies that when one measure increases, the corresponding measure also increases. In this case, cross multiplication serves as the method for the rule of three.

Alternatively, an inverse relationship indicates that an increase in one measurement causes a decrease in the other. In this scenario, line multiplication applies.

Here, the relationship is between the weight of the cheese and its cost. As the weight rises, so does the expense, representing a direct proportion.

Solution:

According to the problem, cheese is priced at $4.40 per pound. Given that each kg equals 2.2 pounds, we can deduce how many kg correspond to one pound.

1 pound - x kg

2.2 pounds - 1 kg

2.2x = 1

x = \frac{1}{2.2}

x = 0.45 kg

Given that cheese costs $4.40 for a pound, and there are 0.45 kg in one pound, we calculate the cost for 1 kg.

$4.40 - 0.45 kg

$x - 1 kg

0.45x = 4.40

x = \frac{4.40}{0.45}

x = 9.70

The price is $9.70 per kilogram.

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