Respuesta :
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 = [tex]\frac{8}{3} : \frac{7}{2}[/tex]
Ratio a : b can be written in fraction as [tex]\frac{a}{b}[/tex]
Similarly,
[tex]\frac{\text {volume of soda in glass } A}{\text {volume of soda in glass } B}=\frac{8 / 3}{7 / 2}[/tex]
[tex]\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}[/tex]
[tex]\frac{\text {volume of soda in glass } A}{\text {volume of soda in glass } B}=\frac{16}{21}[/tex]
Given that There is 320mL of soda in glass A
So substituting in above equation,
[tex]\frac{320}{\text { volume of soda in glass } B}=\frac{16}{21}[/tex]
[tex]\text {volume of soda in } g \text {lass } B=320 \times \frac{21}{16}=420[/tex]
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
