Paul buys a number of large sacks of fertilizer costing $x each

Answer:

Quotient:

Refer to the attached document.

Step-by-step explanation:

Provided:

A rational expression is provided, and we need to compute the quotient.

We will utilize long division to obtain the quotient.

Initially, we eliminate by

) (

Thus, the result of the division is

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

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

The price is $9.70 per kilogram.