The amount of lemon syrup to the amount of water in Cup A is in the ratio 3 : 5. The amount of lemon syrup to the amount of water in Cup B is in the ratio 1 : 6. There is an equal amount of lemon syrup in both cups. Cup A contains 312 mℓ less water than Cup B. What is the amount of lemon 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 less water in Cup A than Cup B
= 18 u - 5 u
= 13 u
13 u = 312
1 u = 312 ÷ 13 = 24
Amount of water in Cup B
= 18 u
= 18 x 24
= 432 mℓ
Answer(s): 432 mℓ