The amount of apple syrup to the amount of water in Cup A is in the ratio 3 : 4. The amount of apple syrup to the amount of water in Cup B is in the ratio 1 : 4. There is an equal amount of apple syrup in both cups. Cup A contains 120 mℓ less water than Cup B. What is the amount of apple syrup in Cup A? Leave the answer in mℓ.
Cup A |
Cup B |
Syrup |
Water |
Syrup |
Water |
3x1 |
4x1 |
1x3 |
4x3 |
1x3 |
|
1x3 |
|
3 u |
4 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 - 4 u
= 8 u
8 u = 120
1 u = 120 ÷ 8 = 15
Amount of water in Cup B
= 12 u
= 12 x 15
= 180 mℓ
Answer(s): 180 mℓ