Harper poured 905 mℓ of fruit punch into a glass, a bottle and a cup. The glass contained 3 times as much fruit punch as the bottle. The cup contained 93 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 = 3 u
Volume of fruit punch that a bottle contained = 1 u
Volume of fruit punch that a cup contained = 93 mℓ
Total volume of fruit punch
= 3 u + 1 u + 93
= 4 u + 93
4 u + 93 = 905
4 u = 905 - 93
4 u = 812
1 u = 812 ÷ 4 = 203
Volume of fruit punch the bottle contained
= 1 u
= 203 mℓ
(b)
Amount of fruit punch that the glass contained more than the cup
= 3 u - 93
= (3 x 203) - 93
= 609 - 93
= 516 mℓ
Answer(s): (a) 203 mℓ; (b) 516 mℓ