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 : 6. There is an equal amount of pomegranate syrup in both cups. Cup A contains 294 mℓ less water than Cup B. 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 |
6x3 |
1x3 |
|
1x3 |
|
3 u |
4 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 - 4 u
= 14 u
14 u = 294
1 u = 294 ÷ 14 = 21
Amount of water in Cup B
= 18 u
= 18 x 21
= 378 mℓ
Answer(s): 378 mℓ