Campers have enough food to last 56 of them days. How long would the job take? 3. IF 3kg of beef costs P36…

Question

Campers have enough food to last 56 of them days. How long would the job take? 3. IF 3kg of beef costs P36, find the cost of a) 11kg

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Here are the solutions to the problems.

:
The problem describes an inverse proportion between the number of men and the number of days the food lasts (or a job takes). The table provides the specific values.

Identify the given values and the relationship.
Initially, there are 12 men, and the job takes 9 days.
For the new scenario, there are 5 men, and we need to find the number of days, let's call it $x$ .
Since the total amount of work (or food supply) is constant, the product of men and days remains the same.
Set up the inverse proportion equation.
$M_1 \times D_1 = M_2 \times D_2$ $12 \text{ men} \times 9 \text{ days} = 5 \text{ men} \times x \text{ days}$
Solve for $x$ .
$108 = 5x$ $x = \frac{108}{5}$ $x = 21.6$
The job would take 21.6 days for 5 men.

The job would take $\boxed{\text{21.6 days}}$ .

:
This problem describes a direct proportion between the mass of beef and its cost.
Identify the given values and the relationship.
3 kg of beef costs $P36$ . We need to find the cost of 11 kg of beef.
The cost per kilogram is constant.
Calculate the cost per kilogram.
$\text{Cost per kg} = \frac{\text{Total Cost}}{\text{Total Mass}}$ $\text{Cost per kg} = \frac{P36}{3 \text{ kg}}$ $\text{Cost per kg} = P12/\text{kg}$
Calculate the cost of 11 kg of beef.
$\text{Cost of 11 kg} = \text{Cost per kg} \times 11 \text{ kg}$ $\text{Cost of 11 kg} = P12/\text{kg} \times 11 \text{ kg}$ $\text{Cost of 11 kg} = P132$
The cost of 11 kg of beef is $\boxed{P132}$ .

Campers have enough food to last 56 of them days. How long would the job take? 3. IF 3kg of beef costs P36, find the cost of a) 11kg

Step-by-step solution

Identify the given values and the relationship.

Set up the inverse proportion equation.

Solve for $x$ .

Identify the given values and the relationship.

Calculate the cost per kilogram.

Calculate the cost of 11 kg of beef.

Still stuck on this one?

More Mathematics Questions

Campers have enough food to last 56 of them days. How long would the job take? 3. IF 3kg of beef costs P36, find the cost of a) 11kg

Step-by-step solution

Identify the given values and the relationship.

Set up the inverse proportion equation.

Solve for xxx.

Identify the given values and the relationship.

Calculate the cost per kilogram.

Calculate the cost of 11 kg of beef.

Still stuck on this one?

More Mathematics Questions

Solve for $x$ .