The amount of pomegranate syrup to the amount of water in Cup A is in the ratio 3 : 7. The amount of pomegranate syrup to the amount of water in Cup B is in the ratio 1 : 3. There is an equal amount of pomegranate syrup in both cups. Cup A contains 32 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 |
7x1 |
1x3 |
3x3 |
1x3 |
|
1x3 |
|
3 u |
7 u |
3 u |
9 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
= 9 u - 7 u
= 2 u
2 u = 32
1 u = 32 ÷ 2 = 16
Amount of water in Cup B
= 9 u
= 9 x 16
= 144 mℓ
Answer(s): 144 mℓ