The amount of lemon syrup to the amount of water in Cup A is in the ratio 3 : 4. The amount of lemon syrup to the amount of water in Cup B is in the ratio 1 : 3. There is an equal amount of lemon syrup in both cups. Cup A contains 85 mℓ less water than Cup B. What is the amount of lemon syrup in Cup A? Leave the answer in mℓ.
Cup A |
Cup B |
Syrup |
Water |
Syrup |
Water |
3x1 |
4x1 |
1x3 |
3x3 |
1x3 |
|
1x3 |
|
3 u |
4 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 - 4 u
= 5 u
5 u = 85
1 u = 85 ÷ 5 = 17
Amount of water in Cup B
= 9 u
= 9 x 17
= 153 mℓ
Answer(s): 153 mℓ