Question

The cost of 5 mangoes is equal to the cost of 20 oranges. If the total cost 2 mangoes and 10 oranges is

` 22.50, find the cost of two oranges.​

Answer 1

Answer:

2.5

Step-by-step explanation:

5x=20y

x=4y

2x+10y= 22.50

2(4y)+10y= 22.50

18y= 22.50

y= 1.25

cost of 2 oranges is 2(1.25) = 2.5

Answer 2

Given - Cost of mangoes and oranges

Find - Cost of two oranges

Solution - The cost of 2 oranges is 2.5.

Let us represent mangoes by x and oranges by y.

So, as per the first line, the equation will be -

5x = 20y

On solving, we get -

x = 4y

Now, as per the second line of the question, the equation will be -

2x + 10y = 22.5

Keeping the value of x from the first equation, to solve for the value of y.

Hence,

2(4y) + 10y = 22.5

8y + 10y = 22.5

18y = 22.5

y = 1.25

Therefore, the cost of 1 orange is 1.25.

So, the cost of 2 oranges = 2.5.

Thus, the cost of 2 oranges is 2.5.