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 : 4. There is an equal amount of honeydew syrup in both cups. Cup A contains 220 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 |
4x4 |
1x4 |
|
1x4 |
|
4 u |
5 u |
4 u |
16 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
= 16 u - 5 u
= 11 u
11 u = 220
1 u = 220 ÷ 11 = 20
Amount of water in Cup B
= 16 u
= 16 x 20
= 320 mℓ
Answer(s): 320 mℓ