Isaiah poured 874 mℓ of fruit punch into a cup, a bottle and a mug. The cup contained 3 times as much fruit punch as the bottle. The mug contained 114 mℓ of fruit punch.
- How much fruit punch did the bottle contain?
- How much more fruit punch did the cup contain than the mug?
(a)
Volume of fruit punch that a cup contained = 3 u
Volume of fruit punch that a bottle contained = 1 u
Volume of fruit punch that a mug contained = 114 mℓ
Total volume of fruit punch
= 3 u + 1 u + 114
= 4 u + 114
4 u + 114 = 874
4 u = 874 - 114
4 u = 760
1 u = 760 ÷ 4 = 190
Volume of fruit punch the bottle contained
= 1 u
= 190 mℓ
(b)
Amount of fruit punch that the cup contained more than the mug
= 3 u - 114
= (3 x 190) - 114
= 570 - 114
= 456 mℓ
Answer(s): (a) 190 mℓ; (b) 456 mℓ