Question

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

Answer 1

Answer:

Total volume in the two glasses is 740 mL.

Step-by-step 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

$\text{ratio of soda in glass A} \times \text{ the volume of soda in glass B} = \text{ratio of soda in glass B} \times \text{ the volume of soda in glass A}$

Substituting the values ,

$\frac{8}{3} \times x = \frac{7}{2} \times 320$

$\frac{8}{3} \times x = \frac{2240}{2}$

$\frac{8}{3} \times x = 1120$

$x = 1120 \times \frac{3}{8}$

$x = \frac{3360}{8}$

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