The amount of mangosteen syrup to the amount of water in Cup A is in the ratio 4 : 5. The amount of mangosteen syrup to the amount of water in Cup B is in the ratio 1 : 3. There is an equal amount of mangosteen syrup in both cups. Cup A contains 196 mℓ less water than Cup B. What is the amount of mangosteen syrup in Cup A? Leave the answer in mℓ.
Cup A |
Cup B |
Syrup |
Water |
Syrup |
Water |
4x1 |
5x1 |
1x4 |
3x4 |
1x4 |
|
1x4 |
|
4 u |
5 u |
4 u |
12 u |
The amount of syrup in Cup A and Cup B is the same. Make the amount of syrup the same. LCM of 4 and 1 is 4.
Amount of less water in Cup A than Cup B
= 12 u - 5 u
= 7 u
7 u = 196
1 u = 196 ÷ 7 = 28
Amount of water in Cup B
= 12 u
= 12 x 28
= 336 mℓ
Answer(s): 336 mℓ