Hannah poured 975 mℓ of fruit punch into a bottle, a cup and a glass. The bottle contained 2 times as much fruit punch as the cup. The glass contained 180 mℓ of fruit punch.
- How much fruit punch did the cup contain?
- How much more fruit punch did the bottle contain than the glass?
(a)
Volume of fruit punch that a bottle contained = 2 u
Volume of fruit punch that a cup contained = 1 u
Volume of fruit punch that a glass contained = 180 mℓ
Total volume of fruit punch
= 2 u + 1 u + 180
= 3 u + 180
3 u + 180 = 975
3 u = 975 - 180
3 u = 795
1 u = 795 ÷ 3 = 265
Volume of fruit punch the cup contained
= 1 u
= 265 mℓ
(b)
Amount of fruit punch that the bottle contained more than the glass
= 2 u - 180
= (2 x 265) - 180
= 530 - 180
= 350 mℓ
Answer(s): (a) 265 mℓ; (b) 350 mℓ
