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

Total volume in two glasses is 740 ml

Solution:

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

There is 320mL of soda in glass A

To find: total volume in the two glasses

From given information,

volume of soda in glass A : volume of soda in glass B = $\frac{8}{3} : \frac{7}{2}$

Ratio a : b can be written in fraction as $\frac{a}{b}$

Similarly,

$\frac{\text {volume of soda in glass } A}{\text {volume of soda in glass } B}=\frac{8 / 3}{7 / 2}$

$\frac{\text {volume of soda in glass } A}{\text {volume of soda in glass } B}=\frac{\frac{8}{3}}{\frac{7}{2}}=\frac{8}{3} \times \frac{2}{7}$

$\frac{\text {volume of soda in glass } A}{\text {volume of soda in glass } B}=\frac{16}{21}$

Given that There is 320mL of soda in glass A

So substituting in above equation,

$\frac{320}{\text { volume of soda in glass } B}=\frac{16}{21}$

$\text {volume of soda in } g \text {lass } B=320 \times \frac{21}{16}=420$

Thus volume of soda in glass B = 420 ml

Total volume in two glasses:

total volume in the two glasses = volume of soda in glass A + volume of soda in glass B

total volume in the two glasses = 320 ml + 420 ml = 740 ml

Thus total volume in two glasses is 740 ml