The amount of mangosteen syrup to the amount of water in Cup A is in the ratio 3 : 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 40 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 |
3x1 |
5x1 |
1x3 |
3x3 |
1x3 |
|
1x3 |
|
3 u |
5 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 - 5 u
= 4 u
4 u = 40
1 u = 40 ÷ 4 = 10
Amount of water in Cup B
= 9 u
= 9 x 10
= 90 mℓ
Answer(s): 90 mℓ