The amount of honeydew syrup to the amount of water in Cup A is in the ratio 5 : 6. The amount of honeydew syrup to the amount of water in Cup B is in the ratio 1 : 3. There is an equal amount of honeydew syrup in both cups. Cup A contains 144 mℓ less water than Cup B. What is the amount of honeydew syrup in Cup A? Leave the answer in mℓ.
Cup A |
Cup B |
Syrup |
Water |
Syrup |
Water |
5x1 |
6x1 |
1x5 |
3x5 |
1x5 |
|
1x5 |
|
5 u |
6 u |
5 u |
15 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
= 15 u - 6 u
= 9 u
9 u = 144
1 u = 144 ÷ 9 = 16
Amount of water in Cup B
= 15 u
= 15 x 16
= 240 mℓ
Answer(s): 240 mℓ