Samantha poured 855 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 147 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 = 147 mℓ
Total volume of fruit punch
= 3 u + 1 u + 147
= 4 u + 147
4 u + 147 = 855
4 u = 855 - 147
4 u = 708
1 u = 708 ÷ 4 = 177
Volume of fruit punch the cup contained
= 1 u
= 177 mℓ
(b)
Amount of fruit punch that the bottle contained more than the mug
= 3 u - 147
= (3 x 177) - 147
= 531 - 147
= 384 mℓ
Answer(s): (a) 177 mℓ; (b) 384 mℓ
