The amount of tomato syrup to the amount of water in Cup A is in the ratio 2 : 7. The amount of tomato syrup to the amount of water in Cup B is in the ratio 1 : 5. There is an equal amount of tomato syrup in both cups. Cup B contains 30 mℓ more water than Cup A. What is the amount of tomato syrup in Cup A? Leave the answer in mℓ.
Cup A |
Cup B |
Syrup |
Water |
Syrup |
Water |
2x1 |
7x1 |
1x2 |
5x2 |
1x2 |
|
1x2 |
|
2 u |
7 u |
2 u |
10 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 more water in Cup B than Cup A
= 10 u - 7 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Amount of tomato syrup in Cup A
= 2 u
= 2 x 10
= 20 mℓ
Answer(s): 20 mℓ