The amount of tomato syrup to the amount of water in Cup A is in the ratio 5 : 8. The amount of tomato syrup to the amount of water in Cup B is in the ratio 1 : 3. There is an equal amount of tomato syrup in both cups. Cup A contains 105 mℓ less water than Cup B. What is the amount of tomato syrup in Cup A? Leave the answer in mℓ.
Cup A |
Cup B |
Syrup |
Water |
Syrup |
Water |
5x1 |
8x1 |
1x5 |
3x5 |
1x5 |
|
1x5 |
|
5 u |
8 u |
5 u |
15 u |
The amount of syrup in Cup A and Cup B is the same. Make the amount of syrup the same. LCM of 5 and 1 is 5.
Amount of less water in Cup A than Cup B
= 15 u - 8 u
= 7 u
7 u = 105
1 u = 105 ÷ 7 = 15
Amount of water in Cup B
= 15 u
= 15 x 15
= 225 mℓ
Answer(s): 225 mℓ