Leah poured 990 mℓ of fruit punch into a glass, a bottle and a cup. The glass contained 2 times as much fruit punch as the bottle. The cup contained 171 mℓ of fruit punch.
- How much fruit punch did the bottle contain?
- How much more fruit punch did the glass contain than the cup?
(a)
Volume of fruit punch that a glass contained = 2 u
Volume of fruit punch that a bottle contained = 1 u
Volume of fruit punch that a cup contained = 171 mℓ
Total volume of fruit punch
= 2 u + 1 u + 171
= 3 u + 171
3 u + 171 = 990
3 u = 990 - 171
3 u = 819
1 u = 819 ÷ 3 = 273
Volume of fruit punch the bottle contained
= 1 u
= 273 mℓ
(b)
Amount of fruit punch that the glass contained more than the cup
= 2 u - 171
= (2 x 273) - 171
= 546 - 171
= 375 mℓ
Answer(s): (a) 273 mℓ; (b) 375 mℓ
