The amount of honeydew syrup to the amount of water in Cup A is in the ratio 4 : 5. The amount of honeydew syrup to the amount of water in Cup B is in the ratio 1 : 2. There is an equal amount of honeydew syrup in both cups. Cup A contains 69 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 |
4x1 |
5x1 |
1x4 |
2x4 |
1x4 |
|
1x4 |
|
4 u |
5 u |
4 u |
8 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
= 8 u - 5 u
= 3 u
3 u = 69
1 u = 69 ÷ 3 = 23
Amount of water in Cup B
= 8 u
= 8 x 23
= 184 mℓ
Answer(s): 184 mℓ