Claire poured 827 mℓ of fruit punch into a bottle, a glass and a cup. The bottle contained 2 times as much fruit punch as the glass. The cup contained 110 mℓ of fruit punch.
- How much fruit punch did the glass contain?
- How much more fruit punch did the bottle contain than the cup?
(a)
Volume of fruit punch that a bottle contained = 2 u
Volume of fruit punch that a glass contained = 1 u
Volume of fruit punch that a cup contained = 110 mℓ
Total volume of fruit punch
= 2 u + 1 u + 110
= 3 u + 110
3 u + 110 = 827
3 u = 827 - 110
3 u = 717
1 u = 717 ÷ 3 = 239
Volume of fruit punch the glass contained
= 1 u
= 239 mℓ
(b)
Amount of fruit punch that the bottle contained more than the cup
= 2 u - 110
= (2 x 239) - 110
= 478 - 110
= 368 mℓ
Answer(s): (a) 239 mℓ; (b) 368 mℓ