The amount of papaya syrup to the amount of water in Cup A is in the ratio 3 : 7. The amount of papaya syrup to the amount of water in Cup B is in the ratio 1 : 4. There is an equal amount of papaya syrup in both cups. Cup B contains 140 mℓ more water than Cup A. What is the amount of papaya syrup in Cup A? Leave the answer in mℓ.
Cup A |
Cup B |
Syrup |
Water |
Syrup |
Water |
3x1 |
7x1 |
1x3 |
4x3 |
1x3 |
|
1x3 |
|
3 u |
7 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 - 7 u
= 5 u
5 u = 140
1 u = 140 ÷ 5 = 28
Amount of papaya syrup in Cup A
= 3 u
= 3 x 28
= 84 mℓ
Answer(s): 84 mℓ