Question

A shop stocks pepsi and fanta in the ratio 6:8 and fanta and coke in the ratio 3:4 Write the ratio of pepsi to coke.​

Answer 1

Let's assume that the shop stocks 6x units of Pepsi, 8x units of Fanta, and 4y units of Coke. From the given information, we know that:

- Fanta and Coke are in the ratio 3:4, so we can write 3z = 4y, where z is a common factor.

- Pepsi and Fanta are in the ratio 6:8, which can be simplified to 3:4 by dividing both sides by 2.

Now, we can set up a system of equations as follows:

3z = 4y (equation 1)

6x = 3y (equation 2)

8x = 4z (equation 3)

We can solve for z in equation 3 by dividing both sides by 4:

2x = z

Substituting this into equation 1 gives:

3(2x) = 4y

6x = 4y

3x = 2y

Substituting this into equation 2 gives:

6x = 3y

6x = 2(3x)

6x = 6x

So, the ratios of Pepsi to Coke is 6x:4y, which simplifies to 3:2. Therefore, the ratio of Pepsi to Coke is 3:2.

Explanation: