Benjamin poured 955 mℓ of fruit punch into a mug, a bottle and a cup. The mug contained 2 times as much fruit punch as the bottle. The cup contained 91 mℓ of fruit punch.
- How much fruit punch did the bottle contain?
- How much more fruit punch did the mug contain than the cup?
(a)
Volume of fruit punch that a mug contained = 2 u
Volume of fruit punch that a bottle contained = 1 u
Volume of fruit punch that a cup contained = 91 mℓ
Total volume of fruit punch
= 2 u + 1 u + 91
= 3 u + 91
3 u + 91 = 955
3 u = 955 - 91
3 u = 864
1 u = 864 ÷ 3 = 288
Volume of fruit punch the bottle contained
= 1 u
= 288 mℓ
(b)
Amount of fruit punch that the mug contained more than the cup
= 2 u - 91
= (2 x 288) - 91
= 576 - 91
= 485 mℓ
Answer(s): (a) 288 mℓ; (b) 485 mℓ
