John poured 654 mℓ of fruit punch into a bottle, a cup and a mug. The bottle contained 4 times as much fruit punch as the cup. The mug contained 104 mℓ of fruit punch.
- How much fruit punch did the cup contain?
- How much more fruit punch did the bottle contain than the mug?
(a)
Volume of fruit punch that a bottle contained = 4 u
Volume of fruit punch that a cup contained = 1 u
Volume of fruit punch that a mug contained = 104 mℓ
Total volume of fruit punch
= 4 u + 1 u + 104
= 5 u + 104
5 u + 104 = 654
5 u = 654 - 104
5 u = 550
1 u = 550 ÷ 5 = 110
Volume of fruit punch the cup contained
= 1 u
= 110 mℓ
(b)
Amount of fruit punch that the bottle contained more than the mug
= 4 u - 104
= (4 x 110) - 104
= 440 - 104
= 336 mℓ
Answer(s): (a) 110 mℓ; (b) 336 mℓ