The amount of tomato syrup to the amount of water in Cup A is in the ratio 3 : 5. 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 160 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 |
3x1 |
5x1 |
1x3 |
5x3 |
1x3 |
|
1x3 |
|
3 u |
5 u |
3 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 3 and 1 is 3.
Amount of more water in Cup B than Cup A
= 15 u - 5 u
= 10 u
10 u = 160
1 u = 160 ÷ 10 = 16
Amount of tomato syrup in Cup A
= 3 u
= 3 x 16
= 48 mℓ
Answer(s): 48 mℓ