The amount of pomegranate syrup to the amount of water in Cup A is in the ratio 3 : 5. The amount of pomegranate syrup to the amount of water in Cup B is in the ratio 1 : 6. There is an equal amount of pomegranate syrup in both cups. Cup B contains 338 mℓ more water than Cup A. What is the amount of pomegranate syrup in Cup A? Leave the answer in mℓ.
Cup A |
Cup B |
Syrup |
Water |
Syrup |
Water |
3x1 |
5x1 |
1x3 |
6x3 |
1x3 |
|
1x3 |
|
3 u |
5 u |
3 u |
18 u |
The amount of syrup in Cup A and Cup B is the same. Make the amount of syrup the same. LCM of 3 and 1 is 3.
Amount of more water in Cup B than Cup A
= 18 u - 5 u
= 13 u
13 u = 338
1 u = 338 ÷ 13 = 26
Amount of pomegranate syrup in Cup A
= 3 u
= 3 x 26
= 78 mℓ
Answer(s): 78 mℓ