The amount of avocado syrup to the amount of water in Cup A is in the ratio 2 : 5. The amount of avocado syrup to the amount of water in Cup B is in the ratio 1 : 6. There is an equal amount of avocado syrup in both cups. Cup A contains 105 mℓ less water than Cup B. What is the amount of avocado syrup in Cup A? Leave the answer in mℓ.
Cup A |
Cup B |
Syrup |
Water |
Syrup |
Water |
2x1 |
5x1 |
1x2 |
6x2 |
1x2 |
|
1x2 |
|
2 u |
5 u |
2 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 2 and 1 is 2.
Amount of less water in Cup A than Cup B
= 12 u - 5 u
= 7 u
7 u = 105
1 u = 105 ÷ 7 = 15
Amount of water in Cup B
= 12 u
= 12 x 15
= 180 mℓ
Answer(s): 180 mℓ