Alexander poured 972 mℓ of fruit punch into a bottle, a glass and a cup. The bottle contained 4 times as much fruit punch as the glass. The cup contained 137 mℓ of fruit punch.
- How much fruit punch did the glass contain?
- How much more fruit punch did the bottle contain than the cup?
(a)
Volume of fruit punch that a bottle contained = 4 u
Volume of fruit punch that a glass contained = 1 u
Volume of fruit punch that a cup contained = 137 mℓ
Total volume of fruit punch
= 4 u + 1 u + 137
= 5 u + 137
5 u + 137 = 972
5 u = 972 - 137
5 u = 835
1 u = 835 ÷ 5 = 167
Volume of fruit punch the glass contained
= 1 u
= 167 mℓ
(b)
Amount of fruit punch that the bottle contained more than the cup
= 4 u - 137
= (4 x 167) - 137
= 668 - 137
= 531 mℓ
Answer(s): (a) 167 mℓ; (b) 531 mℓ
