Question

2. a. The total cost of 60 apples and 100 eggs is €108,000.00. The cost of 72 apples is the same as that of 30 eggs. Find how much 12 apples and 20 eggs will cost.​

Answer 1

Answer:

12 apples and 20 eggs will cost €38,880.

Explanation:

Let's use algebra to solve the problem.

Let x be the cost of one apple and y be the cost of one egg in euros.

From the first statement, we can write two equations:

60x + 100y = 108,000 (equation 1)

From the second statement, we can write another equation:

72x = 30y (equation 2)

We want to find the cost of 12 apples and 20 eggs, which can be written as:

12x + 20y

Now we can use the second equation to solve for one variable in terms of the other.

Rearranging equation 2, we get:

y = (72/30)x

Substituting this into equation 1, we get:

60x + 100(72/30)x = 108,000

Simplifying:

60x + 240x = 108,000

300x = 108,000

x = 360

Now we can use this value of x to find y:

72x = 30y

72(360) = 30y

y = 1,728

Therefore, the cost of 12 apples and 20 eggs is:

12x + 20y
= (12)(360) + (20)(1,728)
= 4,320 + 34,560
= 38,880 euros.

So 12 apples and 20 eggs will cost €38,880.