Rachel poured 1101 mℓ of fruit punch into a bottle, a cup and a mug. The bottle contained 3 times as much fruit punch as the cup. The mug contained 157 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 = 3 u
Volume of fruit punch that a cup contained = 1 u
Volume of fruit punch that a mug contained = 157 mℓ
Total volume of fruit punch
= 3 u + 1 u + 157
= 4 u + 157
4 u + 157 = 1101
4 u = 1101 - 157
4 u = 944
1 u = 944 ÷ 4 = 236
Volume of fruit punch the cup contained
= 1 u
= 236 mℓ
(b)
Amount of fruit punch that the bottle contained more than the mug
= 3 u - 157
= (3 x 236) - 157
= 708 - 157
= 551 mℓ
Answer(s): (a) 236 mℓ; (b) 551 mℓ