The amount of pineapple syrup to the amount of water in Cup A is in the ratio 3 : 8. The amount of pineapple syrup to the amount of water in Cup B is in the ratio 1 : 4. There is an equal amount of pineapple syrup in both cups. Cup B contains 60 mℓ more water than Cup A. What is the amount of pineapple syrup in Cup A? Leave the answer in mℓ.
| Cup A |
Cup B |
| Syrup |
Water |
Syrup |
Water |
| 3x1 |
8x1 |
1x3 |
4x3 |
| 1x3 |
|
1x3 |
|
| 3 u |
8 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 more water in Cup B than Cup A
= 12 u - 8 u
= 4 u
4 u = 60
1 u = 60 ÷ 4 = 15
Amount of pineapple syrup in Cup A
= 3 u
= 3 x 15
= 45 mℓ
Answer(s): 45 mℓ
