The amount of lemon syrup to the amount of water in Cup A is in the ratio 3 : 5. The amount of lemon syrup to the amount of water in Cup B is in the ratio 1 : 4. There is an equal amount of lemon syrup in both cups. Cup A contains 84 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 |
5x1 |
1x3 |
4x3 |
1x3 |
|
1x3 |
|
3 u |
5 u |
3 u |
12 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
= 12 u - 5 u
= 7 u
7 u = 84
1 u = 84 ÷ 7 = 12
Amount of water in Cup B
= 12 u
= 12 x 12
= 144 mℓ
Answer(s): 144 mℓ