The amount of honeydew syrup to the amount of water in Cup A is in the ratio 3 : 7. The amount of honeydew syrup to the amount of water in Cup B is in the ratio 1 : 3. There is an equal amount of honeydew syrup in both cups. Cup B contains 30 mℓ more water than Cup A. What is the amount of honeydew syrup in Cup A? Leave the answer in mℓ.
| Cup A |
Cup B |
| Syrup |
Water |
Syrup |
Water |
| 3x1 |
7x1 |
1x3 |
3x3 |
| 1x3 |
|
1x3 |
|
| 3 u |
7 u |
3 u |
9 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
= 9 u - 7 u
= 2 u
2 u = 30
1 u = 30 ÷ 2 = 15
Amount of honeydew syrup in Cup A
= 3 u
= 3 x 15
= 45 mℓ
Answer(s): 45 mℓ
