The amount of mangosteen syrup to the amount of water in Cup A is in the ratio 5 : 8. The amount of mangosteen syrup to the amount of water in Cup B is in the ratio 1 : 6. There is an equal amount of mangosteen syrup in both cups. Cup B contains 638 mℓ more water than Cup A. What is the amount of mangosteen syrup in Cup A? Leave the answer in mℓ.
Cup A |
Cup B |
Syrup |
Water |
Syrup |
Water |
5x1 |
8x1 |
1x5 |
6x5 |
1x5 |
|
1x5 |
|
5 u |
8 u |
5 u |
30 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 more water in Cup B than Cup A
= 30 u - 8 u
= 22 u
22 u = 638
1 u = 638 ÷ 22 = 29
Amount of mangosteen syrup in Cup A
= 5 u
= 5 x 29
= 145 mℓ
Answer(s): 145 mℓ