Question

The cost of 12kg of apple and 24 kg of orange is $43200. The cost of 24kg of apple

and 12 kg of orange is $36000. Find the cost of apple per kg, orange per kg, 3kg of
apple, and 2 kg of orange.
A. Cost of apple per kg: $1200, Cost of orange per kg: $1200, Cost of 3kg of apple:
$3600, Cost of 2kg of orange: $2400
B. Cost of apple per kg: $1200, Cost of orange per kg: $1200, Cost of 3kg of apple:
$3600, Cost of 2kg of orange: $3600
C. Cost of apple per kg: $2400, Cost of orange per kg: $1200, Cost of 3kg of apple:
$3600, Cost of 2kg of orange: $2400
D. Cost of apple per kg: $2400, Cost of orange per kg: $1200, Cost of 3kg of apple:
$3600, Cost of 2kg of orange: $3600

Answer 1

The cost of apple per kg, orange per kg, 3kg of apple, and 2 kg of orange can be found by solving the given system of equations.

Step-by-step explanation:

Let's represent the cost of 1 kg of apple by 'a' and the cost of 1 kg of orange by 'o'.

From the given information:

12a + 24o = 43200 and 24a + 12o = 36000

Solving these equations simultaneously, we can find the values of 'a' and 'o'.

Then, we can calculate the cost of 3 kg of apple by multiplying the cost of 1 kg of apple by 3, and the cost of 2 kg of orange by multiplying the cost of 1 kg of orange by 2.

So, the answers are:

A. Cost of apple per kg: 1200, Cost of orange per kg: 1200, Cost of 3 kg of apple: 3600, Cost of 2 kg of orange: 2400