Question

The ratio of the volume of soda in glass A to the volume of glass B is 8/3 to 7/2

If there is 320mL of soda in glass A, what is the total volume in the two glasses

Answer 1

Total volume in the two glasses is 740 mL.

Explanation:

Given:

Ratio of the volume of soda in glass A to the volume of glass B = 8/3 : 7/2

Volume of soda in glass A = 320mL

To Find :

The total volume in the two glasses = ?

Solution:

Let the volume of soda in glass B be x

then

`\text{ratio of soda in glass A} * \text{ the volume of soda in glass B} = \text{ratio of soda in glass B} * \text{ the volume of soda in glass A}`

Substituting the values ,

`(8)/(3) * x  = (7)/(2) * 320`

`(8)/(3) * x  = (2240)/(2)`

`(8)/(3) * x  = 1120`

`x  = 1120 * (3)/(8)`

`x  = (3360)/(8)`

x = 420

Now total volume of soda in the two glasses

=> volume of soda in glass A + volume of soda in glass B

=> 320 + 420

=>740mL