Stella poured 767 mℓ of fruit punch into a glass, a bottle and a cup. The glass contained 4 times as much fruit punch as the bottle. The cup contained 122 mℓ of fruit punch.
- How much fruit punch did the bottle contain?
- How much more fruit punch did the glass contain than the cup?
(a)
Volume of fruit punch that a glass contained = 4 u
Volume of fruit punch that a bottle contained = 1 u
Volume of fruit punch that a cup contained = 122 mℓ
Total volume of fruit punch
= 4 u + 1 u + 122
= 5 u + 122
5 u + 122 = 767
5 u = 767 - 122
5 u = 645
1 u = 645 ÷ 5 = 129
Volume of fruit punch the bottle contained
= 1 u
= 129 mℓ
(b)
Amount of fruit punch that the glass contained more than the cup
= 4 u - 122
= (4 x 129) - 122
= 516 - 122
= 394 mℓ
Answer(s): (a) 129 mℓ; (b) 394 mℓ
