Claire poured 1043 mℓ of fruit punch into a cup, a mug and a bottle. The cup contained 2 times as much fruit punch as the mug. The bottle contained 164 mℓ of fruit punch.
- How much fruit punch did the mug contain?
- How much more fruit punch did the cup contain than the bottle?
(a)
Volume of fruit punch that a cup contained = 2 u
Volume of fruit punch that a mug contained = 1 u
Volume of fruit punch that a bottle contained = 164 mℓ
Total volume of fruit punch
= 2 u + 1 u + 164
= 3 u + 164
3 u + 164 = 1043
3 u = 1043 - 164
3 u = 879
1 u = 879 ÷ 3 = 293
Volume of fruit punch the mug contained
= 1 u
= 293 mℓ
(b)
Amount of fruit punch that the cup contained more than the bottle
= 2 u - 164
= (2 x 293) - 164
= 586 - 164
= 422 mℓ
Answer(s): (a) 293 mℓ; (b) 422 mℓ
