The amount of pomegranate syrup to the amount of water in Cup A is in the ratio 5 : 8. 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 A contains 306 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 |
5x1 |
8x1 |
1x5 |
5x5 |
1x5 |
|
1x5 |
|
5 u |
8 u |
5 u |
25 u |
The amount of syrup in Cup A and Cup B is the same. Make the amount of syrup the same. LCM of 5 and 1 is 5.
Amount of less water in Cup A than Cup B
= 25 u - 8 u
= 17 u
17 u = 306
1 u = 306 ÷ 17 = 18
Amount of water in Cup B
= 25 u
= 25 x 18
= 450 mℓ
Answer(s): 450 mℓ