The amount of pomegranate syrup to the amount of water in Cup A is in the ratio 3 : 4. The amount of pomegranate syrup to the amount of water in Cup B is in the ratio 1 : 5. There is an equal amount of pomegranate syrup in both cups. Cup B contains 165 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 |
4x1 |
1x3 |
5x3 |
| 1x3 |
|
1x3 |
|
| 3 u |
4 u |
3 u |
15 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
= 15 u - 4 u
= 11 u
11 u = 165
1 u = 165 ÷ 11 = 15
Amount of pomegranate syrup in Cup A
= 3 u
= 3 x 15
= 45 mℓ
Answer(s): 45 mℓ
