Owen poured 787 mℓ of fruit punch into a cup, a mug and a bottle. The cup contained 3 times as much fruit punch as the mug. The bottle contained 147 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 = 3 u
Volume of fruit punch that a mug contained = 1 u
Volume of fruit punch that a bottle contained = 147 mℓ
Total volume of fruit punch
= 3 u + 1 u + 147
= 4 u + 147
4 u + 147 = 787
4 u = 787 - 147
4 u = 640
1 u = 640 ÷ 4 = 160
Volume of fruit punch the mug contained
= 1 u
= 160 mℓ
(b)
Amount of fruit punch that the cup contained more than the bottle
= 3 u - 147
= (3 x 160) - 147
= 480 - 147
= 333 mℓ
Answer(s): (a) 160 mℓ; (b) 333 mℓ