The amount of durian syrup to the amount of water in Cup A is in the ratio 3 : 4. The amount of durian syrup to the amount of water in Cup B is in the ratio 1 : 2. There is an equal amount of durian syrup in both cups. Cup B contains 46 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 |
3x1 |
4x1 |
1x3 |
2x3 |
1x3 |
|
1x3 |
|
3 u |
4 u |
3 u |
6 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
= 6 u - 4 u
= 2 u
2 u = 46
1 u = 46 ÷ 2 = 23
Amount of durian syrup in Cup A
= 3 u
= 3 x 23
= 69 mℓ
Answer(s): 69 mℓ