The amount of durian syrup to the amount of water in Cup A is in the ratio 2 : 5. The amount of durian syrup to the amount of water in Cup B is in the ratio 1 : 4. There is an equal amount of durian syrup in both cups. Cup B contains 57 mℓ more water than Cup A. What is the amount of durian syrup in Cup A? Leave the answer in mℓ.
Cup A |
Cup B |
Syrup |
Water |
Syrup |
Water |
2x1 |
5x1 |
1x2 |
4x2 |
1x2 |
|
1x2 |
|
2 u |
5 u |
2 u |
8 u |
The amount of syrup in Cup A and Cup B is the same. Make the amount of syrup the same. LCM of 2 and 1 is 2.
Amount of more water in Cup B than Cup A
= 8 u - 5 u
= 3 u
3 u = 57
1 u = 57 ÷ 3 = 19
Amount of durian syrup in Cup A
= 2 u
= 2 x 19
= 38 mℓ
Answer(s): 38 mℓ