Lily poured 905 mℓ of fruit punch into a bottle, a glass and a cup. The bottle contained 3 times as much fruit punch as the glass. The cup contained 177 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 = 3 u
Volume of fruit punch that a glass contained = 1 u
Volume of fruit punch that a cup contained = 177 mℓ
Total volume of fruit punch
= 3 u + 1 u + 177
= 4 u + 177
4 u + 177 = 905
4 u = 905 - 177
4 u = 728
1 u = 728 ÷ 4 = 182
Volume of fruit punch the glass contained
= 1 u
= 182 mℓ
(b)
Amount of fruit punch that the bottle contained more than the cup
= 3 u - 177
= (3 x 182) - 177
= 546 - 177
= 369 mℓ
Answer(s): (a) 182 mℓ; (b) 369 mℓ